13120142132004 has 12 divisors (see below), whose sum is σ = 30613664974704. Its totient is φ = 4373380710664.

The previous prime is 13120142131981. The next prime is 13120142132011. The reversal of 13120142132004 is 40023124102131.

13120142132004 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 (12).

It is a super-2 number, since 2×13120142132004² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 546672588822 + ... + 546672588845.

It is an arithmetic number, because the mean of its divisors is an integer number (2551138747892).

Almost surely, 2^{13120142132004} is an apocalyptic number.

It is an amenable number.

13120142132004 is an abundant number, since it is smaller than the sum of its proper divisors (17493522842700).

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

13120142132004 is a wasteful number, since it uses less digits than its factorization.

13120142132004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1093345177674 (or 1093345177672 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 13120142132004 its reverse (40023124102131), we get a palindrome (53143266234135).

The spelling of 13120142132004 in words is "thirteen trillion, one hundred twenty billion, one hundred forty-two million, one hundred thirty-two thousand, four".