122300013321253 has 2 divisors, whose sum is σ = 122300013321254. Its totient is φ = 122300013321252.

The previous prime is 122300013320987. The next prime is 122300013321289. The reversal of 122300013321253 is 352123310003221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 92077803935524 + 30222209385729 = 9595718^2 + 5497473^2 .

It is an emirp because it is prime and its reverse (352123310003221) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 122300013321253 - 2¹⁷ = 122300013190181 is a prime.

It is a super-2 number, since 2×122300013321253² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122300013301253) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61150006660626 + 61150006660627.

It is an arithmetic number, because the mean of its divisors is an integer number (61150006660627).

Almost surely, 2^{122300013321253} is an apocalyptic number.

It is an amenable number.

122300013321253 is a deficient number, since it is larger than the sum of its proper divisors (1).

122300013321253 is an equidigital number, since it uses as much as digits as its factorization.

122300013321253 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6480, while the sum is 28.

Adding to 122300013321253 its reverse (352123310003221), we get a palindrome (474423323324474).

The spelling of 122300013321253 in words is "one hundred twenty-two trillion, three hundred billion, thirteen million, three hundred twenty-one thousand, two hundred fifty-three".