11616400511131 has 12 divisors (see below), whose sum is σ = 12591714024912. Its totient is φ = 10711742330016.

The previous prime is 11616400511119. The next prime is 11616400511141. The reversal of 11616400511131 is 13111500461611.

It is a happy number.

It is not a de Polignac number, because 11616400511131 - 2⁹ = 11616400510619 is a prime.

It is a super-2 number, since 2×11616400511131² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 11616400511093 and 11616400511102.

It is not an unprimeable number, because it can be changed into a prime (11616400511141) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 35377476 + ... + 35704321.

It is an arithmetic number, because the mean of its divisors is an integer number (1049309502076).

Almost surely, 2^{11616400511131} is an apocalyptic number.

11616400511131 is a deficient number, since it is larger than the sum of its proper divisors (975313513781).

11616400511131 is an equidigital number, since it uses as much as digits as its factorization.

11616400511131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71082790 (or 71082777 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 31.

Adding to 11616400511131 its reverse (13111500461611), we get a palindrome (24727900972742).

The spelling of 11616400511131 in words is "eleven trillion, six hundred sixteen billion, four hundred million, five hundred eleven thousand, one hundred thirty-one".