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131141331321 = 3711133258403
BaseRepresentation
bin111101000100010100…
…0011110100101111001
3110112111110112212212020
41322020220132211321
54122034140100241
6140125005505053
712321542631630
oct1721050364571
9415443485766
10131141331321
1150686954260
12214bab72189
13c49c497000
1464c0cc6517
153628160b66
hex1e88a1e979

131141331321 has 64 divisors (see below), whose sum is σ = 236160583680. Its totient is φ = 62884710720.

The previous prime is 131141331247. The next prime is 131141331361. The reversal of 131141331321 is 123133141131.

It is not a de Polignac number, because 131141331321 - 213 = 131141323129 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 131141331291 and 131141331300.

It is not an unprimeable number, because it can be changed into a prime (131141331361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 378306 + ... + 636708.

It is an arithmetic number, because the mean of its divisors is an integer number (3690009120).

Almost surely, 2131141331321 is an apocalyptic number.

131141331321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

131141331321 is a deficient number, since it is larger than the sum of its proper divisors (105019252359).

131141331321 is a wasteful number, since it uses less digits than its factorization.

131141331321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258463 (or 258437 counting only the distinct ones).

The product of its digits is 648, while the sum is 24.

Adding to 131141331321 its reverse (123133141131), we get a palindrome (254274472452).

The spelling of 131141331321 in words is "one hundred thirty-one billion, one hundred forty-one million, three hundred thirty-one thousand, three hundred twenty-one".

Divisors: 1 3 7 11 13 21 33 39 77 91 143 169 231 273 429 507 1001 1183 1859 2197 3003 3549 5577 6591 13013 15379 24167 39039 46137 72501 169169 258403 507507 775209 1808821 2842433 3359239 5426463 8527299 10077717 19897031 23514673 36951629 43670107 59691093 70544019 110854887 131010321 258661403 305690749 480371177 567711391 775984209 917072247 1441113531 1703134173 3362598239 3973979737 6244825301 10087794717 11921939211 18734475903 43713777107 131141331321