123311031112013 has 2 divisors, whose sum is σ = 123311031112014. Its totient is φ = 123311031112012.

The previous prime is 123311031112001. The next prime is 123311031112033. The reversal of 123311031112013 is 310211130113321.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 117463934734084 + 5847096377929 = 10838078^2 + 2418077^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-123311031112013 is a prime.

It is a super-2 number, since 2×123311031112013² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 123311031112013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (123311031112033) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61655515556006 + 61655515556007.

It is an arithmetic number, because the mean of its divisors is an integer number (61655515556007).

Almost surely, 2^{123311031112013} is an apocalyptic number.

It is an amenable number.

123311031112013 is a deficient number, since it is larger than the sum of its proper divisors (1).

123311031112013 is an equidigital number, since it uses as much as digits as its factorization.

123311031112013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 324, while the sum is 23.

Adding to 123311031112013 its reverse (310211130113321), we get a palindrome (433522161225334).

The spelling of 123311031112013 in words is "one hundred twenty-three trillion, three hundred eleven billion, thirty-one million, one hundred twelve thousand, thirteen".