113153040000 has 1920 divisors, whose sum is σ = 549782513280. Its totient is φ = 21565440000.

The previous prime is 113153039999. The next prime is 113153040023. The reversal of 113153040000 is 40351311.

113153040000 is a `hidden beast` number, since 1 + 131 + 530 + 4 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-2 number, since 2×113153040000² (a number of 23 digits) contains 22 as substring.

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 239 ways as a sum of consecutive naturals, for example, 720719922 + ... + 720720078.

It is an arithmetic number, because the mean of its divisors is an integer number (286345059).

Almost surely, 2^113153040000 is an apocalyptic number.

113153040000 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 113153040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274891256640).

113153040000 is an abundant number, since it is smaller than the sum of its proper divisors (436629473280).

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

113153040000 is a wasteful number, since it uses less digits than its factorization.

113153040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

Adding to 113153040000 its reverse (40351311), we get a palindrome (113193391311).

The spelling of 113153040000 in words is "one hundred thirteen billion, one hundred fifty-three million, forty thousand".