113201155200 has 384 divisors, whose sum is σ = 429222528000. Its totient is φ = 25686282240.

The previous prime is 113201155169. The next prime is 113201155231. The reversal of 113201155200 is 2551102311.

It is an interprime number because it is at equal distance from previous prime (113201155169) and next prime (113201155231).

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×113201155200² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9334741 + ... + 9346859.

It is an arithmetic number, because the mean of its divisors is an integer number (1117767000).

Almost surely, 2^113201155200 is an apocalyptic number.

113201155200 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 113201155200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214611264000).

113201155200 is an abundant number, since it is smaller than the sum of its proper divisors (316021372800).

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

113201155200 is a wasteful number, since it uses less digits than its factorization.

113201155200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12292 (or 12275 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 21.

Adding to 113201155200 its reverse (2551102311), we get a palindrome (115752257511).

The spelling of 113201155200 in words is "one hundred thirteen billion, two hundred one million, one hundred fifty-five thousand, two hundred".