3121360631213 has 12 divisors (see below), whose sum is σ = 3440747811900. Its totient is φ = 2829469874880.

The previous prime is 3121360631201. The next prime is 3121360631273.

3121360631213 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 2218246826884 + 903113804329 = 1489378^2 + 950323^2 .

It is not a de Polignac number, because 3121360631213 - 2¹⁴ = 3121360614829 is a prime.

It is a super-4 number, since 4×3121360631213⁴ (a number of 51 digits) contains 4444 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 3121360631213.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3121360631273) 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, 36915320 + ... + 36999777.

It is an arithmetic number, because the mean of its divisors is an integer number (286728984325).

Almost surely, 2^{3121360631213} is an apocalyptic number.

It is an amenable number.

3121360631213 is a deficient number, since it is larger than the sum of its proper divisors (319387180687).

3121360631213 is a wasteful number, since it uses less digits than its factorization.

3121360631213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73915468 (or 73915457 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 32.

It can be divided in two parts, 3121360 and 631213, that added together give a palindrome (3752573).

The spelling of 3121360631213 in words is "three trillion, one hundred twenty-one billion, three hundred sixty million, six hundred thirty-one thousand, two hundred thirteen".