313001013213 has 32 divisors (see below), whose sum is σ = 535903315200. Its totient is φ = 176848075008.

The previous prime is 313001013197. The next prime is 313001013251. The reversal of 313001013213 is 312310100313.

It is a happy number.

313001013213 is a `hidden beast` number, since 31 + 300 + 10 + 1 + 321 + 3 = 666.

It is not a de Polignac number, because 313001013213 - 2⁴ = 313001013197 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313001053213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9287056 + ... + 9320697.

It is an arithmetic number, because the mean of its divisors is an integer number (16746978600).

Almost surely, 2^313001013213 is an apocalyptic number.

It is an amenable number.

313001013213 is a deficient number, since it is larger than the sum of its proper divisors (222902301987).

313001013213 is a wasteful number, since it uses less digits than its factorization.

313001013213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18607858 (or 18607852 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 313001013213 its reverse (312310100313), we get a palindrome (625311113526).

The spelling of 313001013213 in words is "three hundred thirteen billion, one million, thirteen thousand, two hundred thirteen".