2116400513113 has 2 divisors, whose sum is σ = 2116400513114. Its totient is φ = 2116400513112.

The previous prime is 2116400513111. The next prime is 2116400513137. The reversal of 2116400513113 is 3113150046112.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2089840314384 + 26560198729 = 1445628^2 + 162973^2 .

It is a cyclic number.

It is not a de Polignac number, because 2116400513113 - 2¹ = 2116400513111 is a prime.

It is a super-2 number, since 2×2116400513113² (a number of 25 digits) contains 22 as substring.

Together with 2116400513111, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (2116400513111) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1058200256556 + 1058200256557.

It is an arithmetic number, because the mean of its divisors is an integer number (1058200256557).

Almost surely, 2^{2116400513113} is an apocalyptic number.

It is an amenable number.

2116400513113 is a deficient number, since it is larger than the sum of its proper divisors (1).

2116400513113 is an equidigital number, since it uses as much as digits as its factorization.

2116400513113 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2160, while the sum is 28.

Adding to 2116400513113 its reverse (3113150046112), we get a palindrome (5229550559225).

The spelling of 2116400513113 in words is "two trillion, one hundred sixteen billion, four hundred million, five hundred thirteen thousand, one hundred thirteen".