13022100213253 has 2 divisors, whose sum is σ = 13022100213254. Its totient is φ = 13022100213252.

The previous prime is 13022100213233. The next prime is 13022100213271. The reversal of 13022100213253 is 35231200122031.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12876628913604 + 145471299649 = 3588402^2 + 381407^2 .

It is a cyclic number.

It is not a de Polignac number, because 13022100213253 - 2²⁹ = 13021563342341 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13022100213233) 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, 6511050106626 + 6511050106627.

It is an arithmetic number, because the mean of its divisors is an integer number (6511050106627).

Almost surely, 2^{13022100213253} is an apocalyptic number.

It is an amenable number.

13022100213253 is a deficient number, since it is larger than the sum of its proper divisors (1).

13022100213253 is an equidigital number, since it uses as much as digits as its factorization.

13022100213253 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2160, while the sum is 25.

Adding to 13022100213253 its reverse (35231200122031), we get a palindrome (48253300335284).

The spelling of 13022100213253 in words is "thirteen trillion, twenty-two billion, one hundred million, two hundred thirteen thousand, two hundred fifty-three".