13123335211253 has 2 divisors, whose sum is σ = 13123335211254. Its totient is φ = 13123335211252.

The previous prime is 13123335211229. The next prime is 13123335211267. The reversal of 13123335211253 is 35211253332131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9367964068369 + 3755371142884 = 3060713^2 + 1937878^2 .

It is a cyclic number.

It is not a de Polignac number, because 13123335211253 - 2³⁴ = 13106155342069 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13123335211213) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6561667605626 + 6561667605627.

It is an arithmetic number, because the mean of its divisors is an integer number (6561667605627).

Almost surely, 2^{13123335211253} is an apocalyptic number.

It is an amenable number.

13123335211253 is a deficient number, since it is larger than the sum of its proper divisors (1).

13123335211253 is an equidigital number, since it uses as much as digits as its factorization.

13123335211253 is an evil number, because the sum of its binary digits is even.

The product of its digits is 48600, while the sum is 35.

Adding to 13123335211253 its reverse (35211253332131), we get a palindrome (48334588543384).

The spelling of 13123335211253 in words is "thirteen trillion, one hundred twenty-three billion, three hundred thirty-five million, two hundred eleven thousand, two hundred fifty-three".