123513113 has 2 divisors, whose sum is σ = 123513114. Its totient is φ = 123513112.

The previous prime is 123513011. The next prime is 123513163. The reversal of 123513113 is 311315321.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 103469584 + 20043529 = 10172^2 + 4477^2 .

It is a cyclic number.

It is not a de Polignac number, because 123513113 - 2¹² = 123509017 is a prime.

It is not a weakly prime, because it can be changed into another prime (123513163) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61756556 + 61756557.

It is an arithmetic number, because the mean of its divisors is an integer number (61756557).

Almost surely, 2^123513113 is an apocalyptic number.

It is an amenable number.

123513113 is a deficient number, since it is larger than the sum of its proper divisors (1).

123513113 is an equidigital number, since it uses as much as digits as its factorization.

123513113 is an evil number, because the sum of its binary digits is even.

The product of its digits is 270, while the sum is 20.

The square root of 123513113 is about 11113.6453515487. The cubic root of 123513113 is about 498.0095708982.

Adding to 123513113 its reverse (311315321), we get a palindrome (434828434).

The spelling of 123513113 in words is "one hundred twenty-three million, five hundred thirteen thousand, one hundred thirteen".