313121012313013 has 16 divisors (see below), whose sum is σ = 321799522367232. Its totient is φ = 304492154608000.

The previous prime is 313121012312987. The next prime is 313121012313037. The reversal of 313121012313013 is 310313210121313.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-313121012313013 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313121012323013) 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, 427213128 + ... + 427945438.

It is an arithmetic number, because the mean of its divisors is an integer number (20112470147952).

Almost surely, 2^{313121012313013} is an apocalyptic number.

It is an amenable number.

313121012313013 is a deficient number, since it is larger than the sum of its proper divisors (8678510054219).

313121012313013 is a wasteful number, since it uses less digits than its factorization.

313121012313013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 766196.

The product of its (nonzero) digits is 972, while the sum is 25.

Adding to 313121012313013 its reverse (310313210121313), we get a palindrome (623434222434326).

The spelling of 313121012313013 in words is "three hundred thirteen trillion, one hundred twenty-one billion, twelve million, three hundred thirteen thousand, thirteen".