120000113013 has 32 divisors (see below), whose sum is σ = 175593775104. Its totient is φ = 72291200000.

The previous prime is 120000113011. The next prime is 120000113089. The reversal of 120000113013 is 310311000021.

It is a cyclic number.

It is not a de Polignac number, because 120000113013 - 2¹ = 120000113011 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 120000113013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120000113011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9139093 + ... + 9152213.

It is an arithmetic number, because the mean of its divisors is an integer number (5487305472).

Almost surely, 2^120000113013 is an apocalyptic number.

It is an amenable number.

120000113013 is a deficient number, since it is larger than the sum of its proper divisors (55593662091).

120000113013 is a wasteful number, since it uses less digits than its factorization.

120000113013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14777.

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 120000113013 its reverse (310311000021), we get a palindrome (430311113034).

The spelling of 120000113013 in words is "one hundred twenty billion, one hundred thirteen thousand, thirteen".