313013233120 has 192 divisors, whose sum is σ = 852457374720. Its totient is φ = 106392895488.

The previous prime is 313013233109. The next prime is 313013233151. The reversal of 313013233120 is 21332310313.

It is a junction number, because it is equal to n+sod(n) for n = 313013233091 and 313013233100.

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, 70767229 + ... + 70771651.

It is an arithmetic number, because the mean of its divisors is an integer number (4439882160).

Almost surely, 2^313013233120 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 313013233120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (426228687360).

313013233120 is an abundant number, since it is smaller than the sum of its proper divisors (539444141600).

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

313013233120 is a wasteful number, since it uses less digits than its factorization.

313013233120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4977 (or 4969 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 22.

Adding to 313013233120 its reverse (21332310313), we get a palindrome (334345543433).

The spelling of 313013233120 in words is "three hundred thirteen billion, thirteen million, two hundred thirty-three thousand, one hundred twenty".