11613400413131 has 12 divisors (see below), whose sum is σ = 12765555489792. Its totient is φ = 10557295254000.

The previous prime is 11613400413127. The next prime is 11613400413157. The reversal of 11613400413131 is 13131400431611.

It is not a de Polignac number, because 11613400413131 - 2² = 11613400413127 is a prime.

It is a super-2 number, since 2×11613400413131² (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 = 11613400413094 and 11613400413103.

It is not an unprimeable number, because it can be changed into a prime (11613400415131) 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, 2242361 + ... + 5315541.

It is an arithmetic number, because the mean of its divisors is an integer number (1063796290816).

Almost surely, 2^{11613400413131} is an apocalyptic number.

11613400413131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11613400413131 is a deficient number, since it is larger than the sum of its proper divisors (1152155076661).

11613400413131 is a wasteful number, since it uses less digits than its factorization.

11613400413131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3104434 (or 3104423 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 29.

Adding to 11613400413131 its reverse (13131400431611), we get a palindrome (24744800844742).

The spelling of 11613400413131 in words is "eleven trillion, six hundred thirteen billion, four hundred million, four hundred thirteen thousand, one hundred thirty-one".