313110000000 has 1152 divisors, whose sum is σ = 1328586442560. Its totient is φ = 70560000000.

The previous prime is 313109999999. The next prime is 313110000041. The reversal of 313110000000 is 11313.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4409999965 + ... + 4410000035.

Almost surely, 2^313110000000 is an apocalyptic number.

313110000000 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 313110000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (664293221280).

313110000000 is an abundant number, since it is smaller than the sum of its proper divisors (1015476442560).

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

313110000000 is an frugal number, since it uses more digits than its factorization.

313110000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 9.

Adding to 313110000000 its reverse (11313), we get a palindrome (313110011313).

The spelling of 313110000000 in words is "three hundred thirteen billion, one hundred ten million", and thus it is an aban number.