313301010000 has 400 divisors, whose sum is σ = 1129030594560. Its totient is φ = 74182080000.

The previous prime is 313301009999. The next prime is 313301010013. The reversal of 313301010000 is 10103313.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

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, 14178961 + ... + 14201039.

Almost surely, 2^313301010000 is an apocalyptic number.

313301010000 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 313301010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (564515297280).

313301010000 is an abundant number, since it is smaller than the sum of its proper divisors (815729584560).

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

313301010000 is a wasteful number, since it uses less digits than its factorization.

313301010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22164 (or 22143 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 12.

Adding to 313301010000 its reverse (10103313), we get a palindrome (313311113313).

The spelling of 313301010000 in words is "three hundred thirteen billion, three hundred one million, ten thousand".