313312420013 has 16 divisors (see below), whose sum is σ = 328983242880. Its totient is φ = 297818047296.

The previous prime is 313312419977. The next prime is 313312420019. The reversal of 313312420013 is 310024213313.

It is not a de Polignac number, because 313312420013 - 2⁶ = 313312419949 is a prime.

It is a super-3 number, since 3×313312420013³ (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313312420019) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2349731 + ... + 2479487.

It is an arithmetic number, because the mean of its divisors is an integer number (20561452680).

Almost surely, 2^313312420013 is an apocalyptic number.

It is an amenable number.

313312420013 is a deficient number, since it is larger than the sum of its proper divisors (15670822867).

313312420013 is a wasteful number, since it uses less digits than its factorization.

313312420013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130436.

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 313312420013 its reverse (310024213313), we get a palindrome (623336633326).

The spelling of 313312420013 in words is "three hundred thirteen billion, three hundred twelve million, four hundred twenty thousand, thirteen".