313051050900 has 432 divisors, whose sum is σ = 1249886252160. Its totient is φ = 63800524800.

The previous prime is 313051050899. The next prime is 313051051007. The reversal of 313051050900 is 9050150313.

313051050900 is a `hidden beast` number, since 3 + 13 + 0 + 510 + 50 + 90 + 0 = 666.

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, 1957980 + ... + 2111820.

Almost surely, 2^313051050900 is an apocalyptic number.

313051050900 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 313051050900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (624943126080).

313051050900 is an abundant number, since it is smaller than the sum of its proper divisors (936835201260).

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

313051050900 is a wasteful number, since it uses less digits than its factorization.

313051050900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153904 (or 153894 counting only the distinct ones).

The product of its (nonzero) digits is 2025, while the sum is 27.

The spelling of 313051050900 in words is "three hundred thirteen billion, fifty-one million, fifty thousand, nine hundred".