13133100042 has 24 divisors (see below), whose sum is σ = 28921528740. Its totient is φ = 4305934080.

The previous prime is 13133100037. The next prime is 13133100047. The reversal of 13133100042 is 24000133131.

13133100042 is a `hidden beast` number, since 1 + 313 + 310 + 0 + 0 + 42 = 666.

It is an interprime number because it is at equal distance from previous prime (13133100037) and next prime (13133100047).

It can be written as a sum of positive squares in 2 ways, for example, as 10982830401 + 2150269641 = 104799^2 + 46371^2 .

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 = 13133099988 and 13133100024.

It is not an unprimeable number, because it can be changed into a prime (13133100047) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5979367 + ... + 5981562.

Almost surely, 2^13133100042 is an apocalyptic number.

13133100042 is an abundant number, since it is smaller than the sum of its proper divisors (15788428698).

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

13133100042 is a wasteful number, since it uses less digits than its factorization.

13133100042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11960998 (or 11960995 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 13133100042 its reverse (24000133131), we get a palindrome (37133233173).

The spelling of 13133100042 in words is "thirteen billion, one hundred thirty-three million, one hundred thousand, forty-two".