113208503040 has 360 divisors, whose sum is σ = 409052131488. Its totient is φ = 29893017600.

The previous prime is 113208503011. The next prime is 113208503047. The reversal of 113208503040 is 40305802311.

It is a happy number.

113208503040 is a `hidden beast` number, since 113 + 2 + 0 + 8 + 503 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 113208502995 and 113208503013.

It is not an unprimeable number, because it can be changed into a prime (113208503047) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 10673740 + ... + 10684340.

Almost surely, 2^113208503040 is an apocalyptic number.

113208503040 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 113208503040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204526065744).

113208503040 is an abundant number, since it is smaller than the sum of its proper divisors (295843628448).

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

113208503040 is a wasteful number, since it uses less digits than its factorization.

113208503040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10737 (or 10714 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 113208503040 in words is "one hundred thirteen billion, two hundred eight million, five hundred three thousand, forty".