13122400131 has 12 divisors (see below), whose sum is σ = 19466864352. Its totient is φ = 8511826896.

The previous prime is 13122400117. The next prime is 13122400133. The reversal of 13122400131 is 13100422131.

13122400131 is a `hidden beast` number, since 13 + 122 + 400 + 131 = 666.

It is not a de Polignac number, because 13122400131 - 2²² = 13118205827 is a prime.

It is a super-2 number, since 2×13122400131² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13122400133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19702971 + ... + 19703636.

It is an arithmetic number, because the mean of its divisors is an integer number (1622238696).

Almost surely, 2^13122400131 is an apocalyptic number.

13122400131 is a deficient number, since it is larger than the sum of its proper divisors (6344464221).

13122400131 is a wasteful number, since it uses less digits than its factorization.

13122400131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39406650 (or 39406647 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 13122400131 its reverse (13100422131), we get a palindrome (26222822262).

The spelling of 13122400131 in words is "thirteen billion, one hundred twenty-two million, four hundred thousand, one hundred thirty-one".