310213312013 has 8 divisors (see below), whose sum is σ = 340685762400. Its totient is φ = 280119401680.

The previous prime is 310213311983. The next prime is 310213312021.

310213312013 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 310213312013 - 2¹⁴ = 310213295629 is a prime.

It is a super-2 number, since 2×310213312013² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (310213312093) 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 7 ways as a sum of consecutive naturals, for example, 94633295 + ... + 94636572.

It is an arithmetic number, because the mean of its divisors is an integer number (42585720300).

Almost surely, 2^310213312013 is an apocalyptic number.

It is an amenable number.

310213312013 is a deficient number, since it is larger than the sum of its proper divisors (30472450387).

310213312013 is a wasteful number, since it uses less digits than its factorization.

310213312013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189270027.

The product of its (nonzero) digits is 324, while the sum is 20.

It can be divided in two parts, 310213 and 312013, that added together give a palindrome (622226).

The spelling of 310213312013 in words is "three hundred ten billion, two hundred thirteen million, three hundred twelve thousand, thirteen".