913303116000 has 1152 divisors, whose sum is σ = 3680191936512. Its totient is φ = 212544000000.

The previous prime is 913303115993. The next prime is 913303116017. The reversal of 913303116000 is 611303319.

913303116000 is a `hidden beast` number, since 9 + 13 + 30 + 3 + 11 + 600 + 0 = 666.

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, 1216115625 + ... + 1216116375.

It is an arithmetic number, because the mean of its divisors is an integer number (3194611056).

Almost surely, 2^913303116000 is an apocalyptic number.

913303116000 is a gapful number since it is divisible by the number (90) 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 913303116000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1840095968256).

913303116000 is an abundant number, since it is smaller than the sum of its proper divisors (2766888820512).

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

913303116000 is a wasteful number, since it uses less digits than its factorization.

913303116000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 913 (or 892 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 27.

Adding to 913303116000 its reverse (611303319), we get a palindrome (913914419319).

The spelling of 913303116000 in words is "nine hundred thirteen billion, three hundred three million, one hundred sixteen thousand".