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131322022313 = 2972722432777
BaseRepresentation
bin111101001001101100…
…1110000100110101001
3110112222001112221022012
41322103121300212221
54122421414203223
6140154542405305
712326165525546
oct1722331604651
9415861487265
10131322022313
1150769949059
122154b590835
13c4caa50561
1464dacbdbcd
153638e53c78
hex1e936709a9

131322022313 has 16 divisors (see below), whose sum is σ = 136146890880. Its totient is φ = 126517243776.

The previous prime is 131322022267. The next prime is 131322022319. The reversal of 131322022313 is 313220223131.

It is a cyclic number.

It is not a de Polignac number, because 131322022313 - 218 = 131321760169 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (131322022319) 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 15 ways as a sum of consecutive naturals, for example, 47287781 + ... + 47290557.

It is an arithmetic number, because the mean of its divisors is an integer number (8509180680).

Almost surely, 2131322022313 is an apocalyptic number.

It is an amenable number.

131322022313 is a deficient number, since it is larger than the sum of its proper divisors (4824868567).

131322022313 is a wasteful number, since it uses less digits than its factorization.

131322022313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5776.

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 131322022313 its reverse (313220223131), we get a palindrome (444542245444).

The spelling of 131322022313 in words is "one hundred thirty-one billion, three hundred twenty-two million, twenty-two thousand, three hundred thirteen".

Divisors: 1 29 727 2243 2777 21083 65047 80533 1630661 2018879 6228811 47289169 58547491 180635519 4528345597 131322022313