10405120113 has 40 divisors (see below), whose sum is σ = 16768413288. Its totient is φ = 6405474816.

The previous prime is 10405120109. The next prime is 10405120123. The reversal of 10405120113 is 31102150401.

10405120113 is a `hidden beast` number, since 1 + 0 + 40 + 512 + 0 + 113 = 666.

10405120113 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 2904347664 + 7500772449 = 53892^2 + 86607^2 .

It is not a de Polignac number, because 10405120113 - 2² = 10405120109 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10405120123) 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, 1695 + ... + 144267.

Almost surely, 2^10405120113 is an apocalyptic number.

It is an amenable number.

10405120113 is a deficient number, since it is larger than the sum of its proper divisors (6363293175).

10405120113 is a wasteful number, since it uses less digits than its factorization.

10405120113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142655 (or 142646 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

Adding to 10405120113 its reverse (31102150401), we get a palindrome (41507270514).

The spelling of 10405120113 in words is "ten billion, four hundred five million, one hundred twenty thousand, one hundred thirteen".