10113012033120 has 144 divisors (see below), whose sum is σ = 34512156190512. Its totient is φ = 2696685788160.

The previous prime is 10113012033109. The next prime is 10113012033191. The reversal of 10113012033120 is 2133021031101.

10113012033120 is a `hidden beast` number, since 1 + 0 + 11 + 301 + 2 + 0 + 331 + 20 = 666.

10113012033120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10113012033093 and 10113012033102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35878335 + ... + 36159105.

It is an arithmetic number, because the mean of its divisors is an integer number (239667751323).

Almost surely, 2^{10113012033120} is an apocalyptic number.

10113012033120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10113012033120 is an abundant number, since it is smaller than the sum of its proper divisors (24399144157392).

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

10113012033120 is a wasteful number, since it uses less digits than its factorization.

10113012033120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305805 (or 305794 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 10113012033120 its reverse (2133021031101), we get a palindrome (12246033064221).

The spelling of 10113012033120 in words is "ten trillion, one hundred thirteen billion, twelve million, thirty-three thousand, one hundred twenty".