313100509920 has 288 divisors, whose sum is σ = 1085278914720. Its totient is φ = 75819110400.

The previous prime is 313100509849. The next prime is 313100509937. The reversal of 313100509920 is 29905001313.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 64408290 + ... + 64413150.

It is an arithmetic number, because the mean of its divisors is an integer number (3768329565).

Almost surely, 2^313100509920 is an apocalyptic number.

313100509920 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 313100509920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (542639457360).

313100509920 is an abundant number, since it is smaller than the sum of its proper divisors (772178404800).

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

313100509920 is a wasteful number, since it uses less digits than its factorization.

313100509920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6010 (or 5991 counting only the distinct ones).

The product of its (nonzero) digits is 7290, while the sum is 33.

The spelling of 313100509920 in words is "three hundred thirteen billion, one hundred million, five hundred nine thousand, nine hundred twenty".