313121003120 has 160 divisors (see below), whose sum is σ = 756405872640. Its totient is φ = 120418421760.

The previous prime is 313121003071. The next prime is 313121003149. The reversal of 313121003120 is 21300121313.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 462512222 + ... + 462512898.

It is an arithmetic number, because the mean of its divisors is an integer number (4727536704).

Almost surely, 2^313121003120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 313121003120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378202936320).

313121003120 is an abundant number, since it is smaller than the sum of its proper divisors (443284869520).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

313121003120 is a wasteful number, since it uses less digits than its factorization.

313121003120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1663 (or 1657 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 313121003120 its reverse (21300121313), we get a palindrome (334421124433).

The spelling of 313121003120 in words is "three hundred thirteen billion, one hundred twenty-one million, three thousand, one hundred twenty".