113303330310000 has 400 divisors, whose sum is σ = 387170055423360. Its totient is φ = 28493915520000.

The previous prime is 113303330309993. The next prime is 113303330310059. The reversal of 113303330310000 is 13033303311.

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

It is a super-2 number, since 2×113303330310000² (a number of 29 digits) contains 22 as substring.

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, 35895655 + ... + 38924345.

Almost surely, 2^{113303330310000} is an apocalyptic number.

113303330310000 is a gapful number since it is divisible by the number (10) 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 113303330310000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193585027711680).

113303330310000 is an abundant number, since it is smaller than the sum of its proper divisors (273866725113360).

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

113303330310000 is a wasteful number, since it uses less digits than its factorization.

113303330310000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3028794 (or 3028773 counting only the distinct ones).

The product of its (nonzero) digits is 729, while the sum is 21.

Adding to 113303330310000 its reverse (13033303311), we get a palindrome (113316363613311).

The spelling of 113303330310000 in words is "one hundred thirteen trillion, three hundred three billion, three hundred thirty million, three hundred ten thousand".