31213322331213 has 192 divisors, whose sum is σ = 52782593310720. Its totient is φ = 16186015641600.

The previous prime is 31213322331187. The next prime is 31213322331241.

31213322331213 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 31213322331213 - 2¹⁶ = 31213322265677 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31213322331263) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 541126908 + ... + 541184586.

It is an arithmetic number, because the mean of its divisors is an integer number (274909340160).

Almost surely, 2^{31213322331213} is an apocalyptic number.

31213322331213 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

31213322331213 is a deficient number, since it is larger than the sum of its proper divisors (21569270979507).

31213322331213 is a wasteful number, since it uses less digits than its factorization.

31213322331213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57836 (or 57807 counting only the distinct ones).

The product of its digits is 11664, while the sum is 30.

It can be divided in two parts, 3121332 and 2331213, that added together give a palindrome (5452545).

The spelling of 31213322331213 in words is "thirty-one trillion, two hundred thirteen billion, three hundred twenty-two million, three hundred thirty-one thousand, two hundred thirteen".