123553110016313 has 2 divisors, whose sum is σ = 123553110016314. Its totient is φ = 123553110016312.

The previous prime is 123553110016277. The next prime is 123553110016321. The reversal of 123553110016313 is 313610011355321.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 89869793281024 + 33683316735289 = 9479968^2 + 5803733^2 .

It is an emirp because it is prime and its reverse (313610011355321) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 123553110016313 - 2²² = 123553105822009 is a prime.

It is a super-2 number, since 2×123553110016313² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (123553110016333) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61776555008156 + 61776555008157.

It is an arithmetic number, because the mean of its divisors is an integer number (61776555008157).

Almost surely, 2^{123553110016313} is an apocalyptic number.

It is an amenable number.

123553110016313 is a deficient number, since it is larger than the sum of its proper divisors (1).

123553110016313 is an equidigital number, since it uses as much as digits as its factorization.

123553110016313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 24300, while the sum is 35.

The spelling of 123553110016313 in words is "one hundred twenty-three trillion, five hundred fifty-three billion, one hundred ten million, sixteen thousand, three hundred thirteen".