131002322013031 has 48 divisors (see below), whose sum is σ = 159402928803840. Its totient is φ = 105442705566720.

The previous prime is 131002322013019. The next prime is 131002322013071. The reversal of 131002322013031 is 130310223200131.

It is not a de Polignac number, because 131002322013031 - 2¹⁵ = 131002321980263 is a prime.

It is a super-2 number, since 2×131002322013031² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 131002322012993 and 131002322013011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131002322013071) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8006979291 + ... + 8006995651.

It is an arithmetic number, because the mean of its divisors is an integer number (3320894350080).

Almost surely, 2^{131002322013031} is an apocalyptic number.

131002322013031 is a deficient number, since it is larger than the sum of its proper divisors (28400606790809).

131002322013031 is a wasteful number, since it uses less digits than its factorization.

131002322013031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25144 (or 25127 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 131002322013031 its reverse (130310223200131), we get a palindrome (261312545213162).

The spelling of 131002322013031 in words is "one hundred thirty-one trillion, two billion, three hundred twenty-two million, thirteen thousand, thirty-one".