31024122142013 has 48 divisors (see below), whose sum is σ = 42826869926400. Its totient is φ = 22315052501280.

The previous prime is 31024122141973. The next prime is 31024122142021.

It is a happy number.

31024122142013 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 31024122142013 - 2⁶ = 31024122141949 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31024122142033) 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, 28211045 + ... + 29290122.

It is an arithmetic number, because the mean of its divisors is an integer number (892226456800).

Almost surely, 2^{31024122142013} is an apocalyptic number.

It is an amenable number.

31024122142013 is a deficient number, since it is larger than the sum of its proper divisors (11802747784387).

31024122142013 is a wasteful number, since it uses less digits than its factorization.

31024122142013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57501223 (or 57501198 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

It can be divided in two parts, 3102412 and 2142013, that added together give a palindrome (5244425).

The spelling of 31024122142013 in words is "thirty-one trillion, twenty-four billion, one hundred twenty-two million, one hundred forty-two thousand, thirteen".