313321323120 has 160 divisors (see below), whose sum is σ = 1046300032512. Its totient is φ = 77103952896.

The previous prime is 313321323061. The next prime is 313321323121. The reversal of 313321323120 is 21323123313.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313321323121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13351237 + ... + 13374683.

Almost surely, 2^313321323120 is an apocalyptic number.

313321323120 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 313321323120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (523150016256).

313321323120 is an abundant number, since it is smaller than the sum of its proper divisors (732978709392).

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

313321323120 is a wasteful number, since it uses less digits than its factorization.

313321323120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27759 (or 27753 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 313321323120 its reverse (21323123313), we get a palindrome (334644446433).

The spelling of 313321323120 in words is "three hundred thirteen billion, three hundred twenty-one million, three hundred twenty-three thousand, one hundred twenty".