123007362013 has 2 divisors, whose sum is σ = 123007362014. Its totient is φ = 123007362012.

The previous prime is 123007362007. The next prime is 123007362029. The reversal of 123007362013 is 310263700321.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 81797144004 + 41210218009 = 286002^2 + 203003^2 .

It is a cyclic number.

It is not a de Polignac number, because 123007362013 - 2²¹ = 123005264861 is a prime.

It is a super-2 number, since 2×123007362013² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (123007332013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61503681006 + 61503681007.

It is an arithmetic number, because the mean of its divisors is an integer number (61503681007).

Almost surely, 2^123007362013 is an apocalyptic number.

It is an amenable number.

123007362013 is a deficient number, since it is larger than the sum of its proper divisors (1).

123007362013 is an equidigital number, since it uses as much as digits as its factorization.

123007362013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4536, while the sum is 28.

The spelling of 123007362013 in words is "one hundred twenty-three billion, seven million, three hundred sixty-two thousand, thirteen".