113032401200 has 120 divisors (see below), whose sum is σ = 274346971920. Its totient is φ = 44751283200.

The previous prime is 113032401179. The next prime is 113032401271. The reversal of 113032401200 is 2104230311.

It is a super-2 number, since 2×113032401200² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16889855 + ... + 16896545.

It is an arithmetic number, because the mean of its divisors is an integer number (2286224766).

Almost surely, 2^113032401200 is an apocalyptic number.

113032401200 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 113032401200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137173485960).

113032401200 is an abundant number, since it is smaller than the sum of its proper divisors (161314570720).

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

113032401200 is a wasteful number, since it uses less digits than its factorization.

113032401200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7135 (or 7124 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 113032401200 its reverse (2104230311), we get a palindrome (115136631511).

The spelling of 113032401200 in words is "one hundred thirteen billion, thirty-two million, four hundred one thousand, two hundred".