51114120100313 has 2 divisors, whose sum is σ = 51114120100314. Its totient is φ = 51114120100312.

The previous prime is 51114120100289. The next prime is 51114120100331. The reversal of 51114120100313 is 31300102141115.

Together with next prime (51114120100331) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 28862219735449 + 22251900364864 = 5372357^2 + 4717192^2 .

It is a cyclic number.

It is not a de Polignac number, because 51114120100313 - 2²⁴ = 51114103323097 is a prime.

It is a super-2 number, since 2×51114120100313² (a number of 28 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (51114120108313) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 25557060050156 + 25557060050157.

It is an arithmetic number, because the mean of its divisors is an integer number (25557060050157).

Almost surely, 2^{51114120100313} is an apocalyptic number.

It is an amenable number.

51114120100313 is a deficient number, since it is larger than the sum of its proper divisors (1).

51114120100313 is an equidigital number, since it uses as much as digits as its factorization.

51114120100313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 360, while the sum is 23.

Adding to 51114120100313 its reverse (31300102141115), we get a palindrome (82414222241428).

The spelling of 51114120100313 in words is "fifty-one trillion, one hundred fourteen billion, one hundred twenty million, one hundred thousand, three hundred thirteen".