313210011000213 has 24 divisors (see below), whose sum is σ = 468795672808320. Its totient is φ = 201369050326080.

The previous prime is 313210011000209. The next prime is 313210011000223. The reversal of 313210011000213 is 312000110012313.

313210011000213 is a `hidden beast` number, since 31 + 321 + 0 + 0 + 1 + 100 + 0 + 213 = 666.

It is not a de Polignac number, because 313210011000213 - 2² = 313210011000209 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313210011000223) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5122299768 + ... + 5122360913.

It is an arithmetic number, because the mean of its divisors is an integer number (19533153033680).

Almost surely, 2^{313210011000213} is an apocalyptic number.

It is an amenable number.

313210011000213 is a deficient number, since it is larger than the sum of its proper divisors (155585661808107).

313210011000213 is a wasteful number, since it uses less digits than its factorization.

313210011000213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10244660809 (or 10244660806 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 313210011000213 its reverse (312000110012313), we get a palindrome (625210121012526).

The spelling of 313210011000213 in words is "three hundred thirteen trillion, two hundred ten billion, eleven million, two hundred thirteen", and thus it is an aban number.