313013101120 has 112 divisors (see below), whose sum is σ = 790089880320. Its totient is φ = 117708447744.

The previous prime is 313013101109. The next prime is 313013101123. The reversal of 313013101120 is 21101310313.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 313013101094 and 313013101103.

It is not an unprimeable number, because it can be changed into a prime (313013101123) 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, 4902361 + ... + 4965799.

Almost surely, 2^313013101120 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 313013101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395044940160).

313013101120 is an abundant number, since it is smaller than the sum of its proper divisors (477076779200).

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

313013101120 is a wasteful number, since it uses less digits than its factorization.

313013101120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64380 (or 64370 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 313013101120 its reverse (21101310313), we get a palindrome (334114411433).

The spelling of 313013101120 in words is "three hundred thirteen billion, thirteen million, one hundred one thousand, one hundred twenty".