131311302310101 has 32 divisors (see below), whose sum is σ = 175995361616256. Its totient is φ = 87085203968000.

The previous prime is 131311302310091. The next prime is 131311302310171. The reversal of 131311302310101 is 101013203113131.

It is a cyclic number.

It is not a de Polignac number, because 131311302310101 - 2¹⁵ = 131311302277333 is a prime.

It is a super-2 number, since 2×131311302310101² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131311302310171) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1276290181 + ... + 1276393061.

It is an arithmetic number, because the mean of its divisors is an integer number (5499855050508).

Almost surely, 2^{131311302310101} is an apocalyptic number.

It is an amenable number.

131311302310101 is a deficient number, since it is larger than the sum of its proper divisors (44684059306155).

131311302310101 is a wasteful number, since it uses less digits than its factorization.

131311302310101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105653.

The product of its (nonzero) digits is 162, while the sum is 21.

Adding to 131311302310101 its reverse (101013203113131), we get a palindrome (232324505423232).

The spelling of 131311302310101 in words is "one hundred thirty-one trillion, three hundred eleven billion, three hundred two million, three hundred ten thousand, one hundred one".