113149730070 has 288 divisors, whose sum is σ = 334278809280. Its totient is φ = 26505722880.

The previous prime is 113149730039. The next prime is 113149730101. The reversal of 113149730070 is 70037941311.

113149730070 is a `hidden beast` number, since 1 + 131 + 497 + 30 + 0 + 7 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (113149730039) and next prime (113149730101).

It is a super-2 number, since 2×113149730070² (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 31315584 + ... + 31319196.

It is an arithmetic number, because the mean of its divisors is an integer number (1160690310).

Almost surely, 2^113149730070 is an apocalyptic number.

113149730070 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 113149730070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167139404640).

113149730070 is an abundant number, since it is smaller than the sum of its proper divisors (221129079210).

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

113149730070 is a wasteful number, since it uses less digits than its factorization.

113149730070 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3752 (or 3736 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 36.

The spelling of 113149730070 in words is "one hundred thirteen billion, one hundred forty-nine million, seven hundred thirty thousand, seventy".