3121102011213 has 12 divisors (see below), whose sum is σ = 4510301198208. Its totient is φ = 2079791872200.

The previous prime is 3121102011163. The next prime is 3121102011239.

3121102011213 is a `hidden beast` number, since 312 + 110 + 20 + 11 + 213 = 666.

3121102011213 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 3121102011213 - 2²⁸ = 3120833575757 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3121102011113) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 78545863 + ... + 78585588.

It is an arithmetic number, because the mean of its divisors is an integer number (375858433184).

Almost surely, 2^{3121102011213} is an apocalyptic number.

It is an amenable number.

3121102011213 is a deficient number, since it is larger than the sum of its proper divisors (1389199186995).

3121102011213 is a wasteful number, since it uses less digits than its factorization.

3121102011213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157133664 (or 157133661 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The spelling of 3121102011213 in words is "three trillion, one hundred twenty-one billion, one hundred two million, eleven thousand, two hundred thirteen".