113110230013200 has 1440 divisors, whose sum is σ = 477707885690880. Its totient is φ = 24234917990400.

The previous prime is 113110230013171. The next prime is 113110230013211. The reversal of 113110230013200 is 2310032011311.

113110230013200 is a `hidden beast` number, since 1 + 1 + 3 + 110 + 230 + 0 + 1 + 320 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 6561290181 + ... + 6561307419.

Almost surely, 2^{113110230013200} is an apocalyptic number.

113110230013200 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 113110230013200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238853942845440).

113110230013200 is an abundant number, since it is smaller than the sum of its proper divisors (364597655677680).

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

113110230013200 is a wasteful number, since it uses less digits than its factorization.

113110230013200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17565 (or 17551 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 113110230013200 its reverse (2310032011311), we get a palindrome (115420262024511).

The spelling of 113110230013200 in words is "one hundred thirteen trillion, one hundred ten billion, two hundred thirty million, thirteen thousand, two hundred".