12133022131131 has 32 divisors (see below), whose sum is σ = 17656398385920. Its totient is φ = 7349861836800.

The previous prime is 12133022131121. The next prime is 12133022131133. The reversal of 12133022131131 is 13113122033121.

It is not a de Polignac number, because 12133022131131 - 2¹⁵ = 12133022098363 is a prime.

It is a super-2 number, since 2×12133022131131² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12133022131133) 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 31 ways as a sum of consecutive naturals, for example, 791500075 + ... + 791515403.

It is an arithmetic number, because the mean of its divisors is an integer number (551762449560).

Almost surely, 2^{12133022131131} is an apocalyptic number.

12133022131131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12133022131131 is a deficient number, since it is larger than the sum of its proper divisors (5523376254789).

12133022131131 is a wasteful number, since it uses less digits than its factorization.

12133022131131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25147.

The product of its (nonzero) digits is 648, while the sum is 24.

Adding to 12133022131131 its reverse (13113122033121), we get a palindrome (25246144164252).

It can be divided in two parts, 1213302 and 2131131, that added together give a palindrome (3344433).

The spelling of 12133022131131 in words is "twelve trillion, one hundred thirty-three billion, twenty-two million, one hundred thirty-one thousand, one hundred thirty-one".