13120142044100 has 108 divisors (see below), whose sum is σ = 35666601699204. Its totient is φ = 4152308670720.

The previous prime is 13120142044081. The next prime is 13120142044129. The reversal of 13120142044100 is 144024102131.

It can be written as a sum of positive squares in 6 ways, for example, as 59839922884 + 13060302121216 = 244622^2 + 3613904^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 102920147 + ... + 103047546.

Almost surely, 2^{13120142044100} is an apocalyptic number.

13120142044100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13120142044100 is an abundant number, since it is smaller than the sum of its proper divisors (22546459655104).

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

13120142044100 is a wasteful number, since it uses less digits than its factorization.

13120142044100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205967734 (or 205967720 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

Adding to 13120142044100 its reverse (144024102131), we get a palindrome (13264166146231).

The spelling of 13120142044100 in words is "thirteen trillion, one hundred twenty billion, one hundred forty-two million, forty-four thousand, one hundred".