313111005000 has 320 divisors, whose sum is σ = 1012379934720. Its totient is φ = 80589600000.

The previous prime is 313111004989. The next prime is 313111005029. The reversal of 313111005000 is 500111313.

313111005000 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×313111005000² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 254354385 + ... + 254355615.

It is an arithmetic number, because the mean of its divisors is an integer number (3163687296).

Almost surely, 2^313111005000 is an apocalyptic number.

313111005000 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 313111005000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (506189967360).

313111005000 is an abundant number, since it is smaller than the sum of its proper divisors (699268929720).

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

313111005000 is a wasteful number, since it uses less digits than its factorization.

313111005000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1838 (or 1819 counting only the distinct ones).

The product of its (nonzero) digits is 45, while the sum is 15.

Adding to 313111005000 its reverse (500111313), we get a palindrome (313611116313).

The spelling of 313111005000 in words is "three hundred thirteen billion, one hundred eleven million, five thousand".