313991110920 has 128 divisors (see below), whose sum is σ = 946112244480. Its totient is φ = 83363712000.

The previous prime is 313991110883. The next prime is 313991110963. The reversal of 313991110920 is 29011199313.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35113650 + ... + 35122590.

It is an arithmetic number, because the mean of its divisors is an integer number (7391501910).

Almost surely, 2^313991110920 is an apocalyptic number.

313991110920 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 313991110920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (473056122240).

313991110920 is an abundant number, since it is smaller than the sum of its proper divisors (632121133560).

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

313991110920 is a wasteful number, since it uses less digits than its factorization.

313991110920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10207 (or 10203 counting only the distinct ones).

The product of its (nonzero) digits is 13122, while the sum is 39.

The spelling of 313991110920 in words is "three hundred thirteen billion, nine hundred ninety-one million, one hundred ten thousand, nine hundred twenty".