3121312131213 has 16 divisors (see below), whose sum is σ = 4244658270336. Its totient is φ = 2039501580480.

The previous prime is 3121312131211. The next prime is 3121312131239.

3121312131213 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 3121312131213 - 2¹ = 3121312131211 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3121312131211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9996658 + ... + 10304163.

It is an arithmetic number, because the mean of its divisors is an integer number (265291141896).

Almost surely, 2^{3121312131213} is an apocalyptic number.

It is an amenable number.

3121312131213 is a deficient number, since it is larger than the sum of its proper divisors (1123346139123).

3121312131213 is a wasteful number, since it uses less digits than its factorization.

3121312131213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20301844.

The product of its digits is 648, while the sum is 24.

It can be divided in two parts, 3121312 and 131213, that added together give a triangular number (3252525 = T₂₅₅₀).

The spelling of 3121312131213 in words is "three trillion, one hundred twenty-one billion, three hundred twelve million, one hundred thirty-one thousand, two hundred thirteen".