114132004013 has 2 divisors, whose sum is σ = 114132004014. Its totient is φ = 114132004012.

The previous prime is 114132004003. The next prime is 114132004031. The reversal of 114132004013 is 310400231411.

Together with next prime (114132004031) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 100021652644 + 14110351369 = 316262^2 + 118787^2 .

It is an emirp because it is prime and its reverse (310400231411) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 114132004013 - 2⁸ = 114132003757 is a prime.

It is a super-2 number, since 2×114132004013² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (114132004003) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 57066002006 + 57066002007.

It is an arithmetic number, because the mean of its divisors is an integer number (57066002007).

Almost surely, 2^114132004013 is an apocalyptic number.

It is an amenable number.

114132004013 is a deficient number, since it is larger than the sum of its proper divisors (1).

114132004013 is an equidigital number, since it uses as much as digits as its factorization.

114132004013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 114132004013 its reverse (310400231411), we get a palindrome (424532235424).

The spelling of 114132004013 in words is "one hundred fourteen billion, one hundred thirty-two million, four thousand, thirteen".