33142132001113 has 16 divisors (see below), whose sum is σ = 33612089631120. Its totient is φ = 32674820161536.

The previous prime is 33142132001051. The next prime is 33142132001177. The reversal of 33142132001113 is 31110023124133.

It can be written as a sum of positive squares in 8 ways, for example, as 5379486474384 + 27762645526729 = 2319372^2 + 5269027^2 .

It is a cyclic number.

It is not a de Polignac number, because 33142132001113 - 2²⁹ = 33141595130201 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (33142138001113) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 246172345 + ... + 246306937.

It is an arithmetic number, because the mean of its divisors is an integer number (2100755601945).

Almost surely, 2^{33142132001113} is an apocalyptic number.

It is an amenable number.

33142132001113 is a deficient number, since it is larger than the sum of its proper divisors (469957630007).

33142132001113 is a wasteful number, since it uses less digits than its factorization.

33142132001113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144396.

The product of its (nonzero) digits is 1296, while the sum is 25.

Adding to 33142132001113 its reverse (31110023124133), we get a palindrome (64252155125246).

The spelling of 33142132001113 in words is "thirty-three trillion, one hundred forty-two billion, one hundred thirty-two million, one thousand, one hundred thirteen".