12133114516131 has 16 divisors (see below), whose sum is σ = 18508457049600. Its totient is φ = 6925745196288.

The previous prime is 12133114516097. The next prime is 12133114516169. The reversal of 12133114516131 is 13161541133121.

It is not a de Polignac number, because 12133114516131 - 2⁶ = 12133114516067 is a prime.

It is a super-2 number, since 2×12133114516131² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12133114516092 and 12133114516101.

It is not an unprimeable number, because it can be changed into a prime (12133114516181) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 310942471 + ... + 310981488.

It is an arithmetic number, because the mean of its divisors is an integer number (1156778565600).

Almost surely, 2^{12133114516131} is an apocalyptic number.

12133114516131 is a deficient number, since it is larger than the sum of its proper divisors (6375342533469).

12133114516131 is an equidigital number, since it uses as much as digits as its factorization.

12133114516131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 621924898.

The product of its digits is 6480, while the sum is 33.

Adding to 12133114516131 its reverse (13161541133121), we get a palindrome (25294655649252).

The spelling of 12133114516131 in words is "twelve trillion, one hundred thirty-three billion, one hundred fourteen million, five hundred sixteen thousand, one hundred thirty-one".