313112322000 has 480 divisors, whose sum is σ = 1112472395424. Its totient is φ = 82068480000.

The previous prime is 313112321999. The next prime is 313112322059. The reversal of 313112322000 is 223211313.

313112322000 is a `hidden beast` number, since 31 + 311 + 2 + 322 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 199197971856 + 113914350144 = 446316^2 + 337512^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 285425452 + ... + 285426548.

Almost surely, 2^313112322000 is an apocalyptic number.

313112322000 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 313112322000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (556236197712).

313112322000 is an abundant number, since it is smaller than the sum of its proper divisors (799360073424).

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

313112322000 is a wasteful number, since it uses less digits than its factorization.

313112322000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1384 (or 1365 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 313112322000 its reverse (223211313), we get a palindrome (313335533313).

The spelling of 313112322000 in words is "three hundred thirteen billion, one hundred twelve million, three hundred twenty-two thousand".