123313110001129 has 2 divisors, whose sum is σ = 123313110001130. Its totient is φ = 123313110001128.

The previous prime is 123313110001063. The next prime is 123313110001163. The reversal of 123313110001129 is 921100011313321.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 110089450491904 + 13223659509225 = 10492352^2 + 3636435^2 .

It is a cyclic number.

It is not a de Polignac number, because 123313110001129 - 2¹⁹ = 123313109476841 is a prime.

It is a super-2 number, since 2×123313110001129² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 123313110001097 and 123313110001106.

It is not a weakly prime, because it can be changed into another prime (123313120001129) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61656555000564 + 61656555000565.

It is an arithmetic number, because the mean of its divisors is an integer number (61656555000565).

Almost surely, 2^{123313110001129} is an apocalyptic number.

It is an amenable number.

123313110001129 is a deficient number, since it is larger than the sum of its proper divisors (1).

123313110001129 is an equidigital number, since it uses as much as digits as its factorization.

123313110001129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 972, while the sum is 28.

The spelling of 123313110001129 in words is "one hundred twenty-three trillion, three hundred thirteen billion, one hundred ten million, one thousand, one hundred twenty-nine".