123134412130313 has 2 divisors, whose sum is σ = 123134412130314. Its totient is φ = 123134412130312.

The previous prime is 123134412130277. The next prime is 123134412130319. The reversal of 123134412130313 is 313031214431321.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 110649192696064 + 12485219434249 = 10518992^2 + 3533443^2 .

It is an emirp because it is prime and its reverse (313031214431321) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 123134412130313 - 2²² = 123134407936009 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 123134412130313.

It is not a weakly prime, because it can be changed into another prime (123134412130319) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61567206065156 + 61567206065157.

It is an arithmetic number, because the mean of its divisors is an integer number (61567206065157).

Almost surely, 2^{123134412130313} is an apocalyptic number.

It is an amenable number.

123134412130313 is a deficient number, since it is larger than the sum of its proper divisors (1).

123134412130313 is an equidigital number, since it uses as much as digits as its factorization.

123134412130313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 15552, while the sum is 32.

Adding to 123134412130313 its reverse (313031214431321), we get a palindrome (436165626561634).

The spelling of 123134412130313 in words is "one hundred twenty-three trillion, one hundred thirty-four billion, four hundred twelve million, one hundred thirty thousand, three hundred thirteen".