31068577586013 has 128 divisors (see below), whose sum is σ = 48806478471168. Its totient is φ = 17393080320000.

The previous prime is 31068577585963. The next prime is 31068577586027.

It is a happy number.

31068577586013 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 31068577586013 - 2²⁴ = 31068560808797 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31068577586413) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 792202581 + ... + 792241797.

It is an arithmetic number, because the mean of its divisors is an integer number (381300613056).

Almost surely, 2^{31068577586013} is an apocalyptic number.

31068577586013 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

31068577586013 is a deficient number, since it is larger than the sum of its proper divisors (17737900885155).

31068577586013 is a wasteful number, since it uses less digits than its factorization.

31068577586013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39627.

The product of its (nonzero) digits is 25401600, while the sum is 60.

The spelling of 31068577586013 in words is "thirty-one trillion, sixty-eight billion, five hundred seventy-seven million, five hundred eighty-six thousand, thirteen".