12135524402133 has 24 divisors (see below), whose sum is σ = 19123719372576. Its totient is φ = 7354449866400.

The previous prime is 12135524402129. The next prime is 12135524402147. The reversal of 12135524402133 is 33120442553121.

12135524402133 is a `hidden beast` number, since 1 + 2 + 1 + 35 + 52 + 440 + 2 + 133 = 666.

It is not a de Polignac number, because 12135524402133 - 2² = 12135524402129 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12135524402033) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1670283 + ... + 5202008.

It is an arithmetic number, because the mean of its divisors is an integer number (796821640524).

Almost surely, 2^{12135524402133} is an apocalyptic number.

It is an amenable number.

12135524402133 is a deficient number, since it is larger than the sum of its proper divisors (6988194970443).

12135524402133 is a wasteful number, since it uses less digits than its factorization.

12135524402133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6890145 (or 6890142 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

Adding to 12135524402133 its reverse (33120442553121), we get a palindrome (45255966955254).

The spelling of 12135524402133 in words is "twelve trillion, one hundred thirty-five billion, five hundred twenty-four million, four hundred two thousand, one hundred thirty-three".