113201525320000 has 280 divisors, whose sum is σ = 303728504791712. Its totient is φ = 41599353600000.

The previous prime is 113201525319991. The next prime is 113201525320109. The reversal of 113201525320000 is 23525102311.

It is a super-2 number, since 2×113201525320000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 109204135 + ... + 110235865.

Almost surely, 2^{113201525320000} is an apocalyptic number.

113201525320000 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 113201525320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151864252395856).

113201525320000 is an abundant number, since it is smaller than the sum of its proper divisors (190526979471712).

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

113201525320000 is a wasteful number, since it uses less digits than its factorization.

113201525320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1031987 (or 1031962 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 25.

The spelling of 113201525320000 in words is "one hundred thirteen trillion, two hundred one billion, five hundred twenty-five million, three hundred twenty thousand".