13021312101253 has 2 divisors, whose sum is σ = 13021312101254. Its totient is φ = 13021312101252.

The previous prime is 13021312101241. The next prime is 13021312101377. The reversal of 13021312101253 is 35210121312031.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7792488999009 + 5228823102244 = 2791503^2 + 2286662^2 .

It is a cyclic number.

It is not a de Polignac number, because 13021312101253 - 2²⁵ = 13021278546821 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13021312108253) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6510656050626 + 6510656050627.

It is an arithmetic number, because the mean of its divisors is an integer number (6510656050627).

Almost surely, 2^{13021312101253} is an apocalyptic number.

It is an amenable number.

13021312101253 is a deficient number, since it is larger than the sum of its proper divisors (1).

13021312101253 is an equidigital number, since it uses as much as digits as its factorization.

13021312101253 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1080, while the sum is 25.

Adding to 13021312101253 its reverse (35210121312031), we get a palindrome (48231433413284).

The spelling of 13021312101253 in words is "thirteen trillion, twenty-one billion, three hundred twelve million, one hundred one thousand, two hundred fifty-three".