3131102011313 has 8 divisors (see below), whose sum is σ = 3162249016680. Its totient is φ = 3099957868800.

The previous prime is 3131102011307. The next prime is 3131102011333.

3131102011313 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 1792899576064 + 1338202435249 = 1338992^2 + 1156807^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 3131102011313 - 2⁸ = 3131102011057 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3131102011333) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1517033 + ... + 2926361.

It is an arithmetic number, because the mean of its divisors is an integer number (395281127085).

Almost surely, 2^{3131102011313} is an apocalyptic number.

It is an amenable number.

3131102011313 is a deficient number, since it is larger than the sum of its proper divisors (31147005367).

3131102011313 is a wasteful number, since it uses less digits than its factorization.

3131102011313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1431427.

The product of its (nonzero) digits is 162, while the sum is 20.

The spelling of 3131102011313 in words is "three trillion, one hundred thirty-one billion, one hundred two million, eleven thousand, three hundred thirteen".