10113471309600 has 432 divisors, whose sum is σ = 36754680362400. Its totient is φ = 2615244226560.

The previous prime is 10113471309589. The next prime is 10113471309649. The reversal of 10113471309600 is 690317431101.

10113471309600 is a `hidden beast` number, since 1 + 0 + 1 + 1 + 3 + 47 + 1 + 3 + 0 + 9 + 600 = 666.

10113471309600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 42916896 + ... + 43151904.

Almost surely, 2^{10113471309600} is an apocalyptic number.

10113471309600 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 10113471309600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18377340181200).

10113471309600 is an abundant number, since it is smaller than the sum of its proper divisors (26641209052800).

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

10113471309600 is a wasteful number, since it uses less digits than its factorization.

10113471309600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235217 (or 235201 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The spelling of 10113471309600 in words is "ten trillion, one hundred thirteen billion, four hundred seventy-one million, three hundred nine thousand, six hundred".