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131301022010223 = 313239291481106391
BaseRepresentation
bin11101110110101011100110…
…110001101000101101101111
3122012220020212222110020110110
4131312223212301220231233
5114202213443113311343
61143130505022511103
736441120504264612
oct3566534661505557
9565806788406413
10131301022010223
11389224a5a0686a
1212887026735493
135835830324bb0
14245d009384179
15102a69309b833
hex776ae6c68b6f

131301022010223 has 64 divisors (see below), whose sum is σ = 197078566164480. Its totient is φ = 77151508684800.

The previous prime is 131301022010201. The next prime is 131301022010231. The reversal of 131301022010223 is 322010220103131.

It is not a de Polignac number, because 131301022010223 - 214 = 131301021993839 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 131301022010223.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131301022010243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1234083358 + ... + 1234189748.

It is an arithmetic number, because the mean of its divisors is an integer number (3079352596320).

Almost surely, 2131301022010223 is an apocalyptic number.

131301022010223 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

131301022010223 is a deficient number, since it is larger than the sum of its proper divisors (65777544154257).

131301022010223 is a wasteful number, since it uses less digits than its factorization.

131301022010223 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108840.

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 131301022010223 its reverse (322010220103131), we get a palindrome (453311242113354).

The spelling of 131301022010223 in words is "one hundred thirty-one trillion, three hundred one billion, twenty-two million, ten thousand, two hundred twenty-three".

Divisors: 1 3 13 23 39 69 299 897 929 1481 2787 4443 12077 19253 21367 34063 36231 57759 64101 102189 106391 277771 319173 442819 833313 1328457 1375849 1383083 2446993 4127547 4149249 7340979 17886037 31644527 31810909 53658111 94933581 95432727 98837239 157565071 296511717 411378851 472695213 1234136553 1284884107 2048345923 2273256497 3623996633 3854652321 6145037769 6819769491 10871989899 29552334461 47111956229 88657003383 141335868687 146377950959 439133852877 1902913362467 3366692872057 5708740087401 10100078616171 43767007336741 131301022010223