313116814080 has 1728 divisors, whose sum is σ = 1401471052800. Its totient is φ = 65464713216.

The previous prime is 313116814069. The next prime is 313116814117. The reversal of 313116814080 is 80418611313.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 10797131506 + ... + 10797131534.

Almost surely, 2^313116814080 is an apocalyptic number.

313116814080 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 313116814080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (700735526400).

313116814080 is an abundant number, since it is smaller than the sum of its proper divisors (1088354238720).

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

313116814080 is an frugal number, since it uses more digits than its factorization.

313116814080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 313116814080 in words is "three hundred thirteen billion, one hundred sixteen million, eight hundred fourteen thousand, eighty".