31210022001213 has 12 divisors (see below), whose sum is σ = 49179428608128. Its totient is φ = 18915164849160.

The previous prime is 31210022001209. The next prime is 31210022001247.

31210022001213 is a `hidden beast` number, since 312 + 10 + 0 + 220 + 0 + 121 + 3 = 666.

31210022001213 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 31210022001213 - 2² = 31210022001209 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31210022001283) 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, 157626373645 + ... + 157626373842.

It is an arithmetic number, because the mean of its divisors is an integer number (4098285717344).

Almost surely, 2^{31210022001213} is an apocalyptic number.

31210022001213 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

31210022001213 is a deficient number, since it is larger than the sum of its proper divisors (17969406606915).

31210022001213 is a wasteful number, since it uses less digits than its factorization.

31210022001213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315252747504 (or 315252747501 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

It can be divided in two parts, 3121002 and 2001213, that added together give a palindrome (5122215).

The spelling of 31210022001213 in words is "thirty-one trillion, two hundred ten billion, twenty-two million, one thousand, two hundred thirteen".