11616200134113 has 32 divisors (see below), whose sum is σ = 16312105958400. Its totient is φ = 7332648555456.

The previous prime is 11616200134087. The next prime is 11616200134117. The reversal of 11616200134113 is 31143100261611.

It is not a de Polignac number, because 11616200134113 - 2⁵ = 11616200134081 is a prime.

It is a super-2 number, since 2×11616200134113² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11616200134117) 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, 1318969156 + ... + 1318977962.

It is an arithmetic number, because the mean of its divisors is an integer number (509753311200).

Almost surely, 2^{11616200134113} is an apocalyptic number.

It is an amenable number.

11616200134113 is a deficient number, since it is larger than the sum of its proper divisors (4695905824287).

11616200134113 is a wasteful number, since it uses less digits than its factorization.

11616200134113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18501.

The product of its (nonzero) digits is 2592, while the sum is 30.

Adding to 11616200134113 its reverse (31143100261611), we get a palindrome (42759300395724).

The spelling of 11616200134113 in words is "eleven trillion, six hundred sixteen billion, two hundred million, one hundred thirty-four thousand, one hundred thirteen".