131303112101013 has 16 divisors (see below), whose sum is σ = 185126024305152. Its totient is φ = 82645546560000.

The previous prime is 131303112101003. The next prime is 131303112101033. The reversal of 131303112101013 is 310101211303131.

It is not a de Polignac number, because 131303112101013 - 2⁸ = 131303112100757 is a prime.

It is a super-2 number, since 2×131303112101013² (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 (131303112101003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17217818388 + ... + 17217826013.

It is an arithmetic number, because the mean of its divisors is an integer number (11570376519072).

Almost surely, 2^{131303112101013} is an apocalyptic number.

It is an amenable number.

131303112101013 is a deficient number, since it is larger than the sum of its proper divisors (53822912204139).

131303112101013 is a wasteful number, since it uses less digits than its factorization.

131303112101013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34435644476.

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

Adding to 131303112101013 its reverse (310101211303131), we get a palindrome (441404323404144).

The spelling of 131303112101013 in words is "one hundred thirty-one trillion, three hundred three billion, one hundred twelve million, one hundred one thousand, thirteen".