13303312102153 has 2 divisors, whose sum is σ = 13303312102154. Its totient is φ = 13303312102152.

The previous prime is 13303312102147. The next prime is 13303312102177. The reversal of 13303312102153 is 35120121330331.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10779382540809 + 2523929561344 = 3283197^2 + 1588688^2 .

It is an emirp because it is prime and its reverse (35120121330331) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 13303312102153 - 2³³ = 13294722167561 is a prime.

It is a super-2 number, since 2×13303312102153² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (13303312102133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6651656051076 + 6651656051077.

It is an arithmetic number, because the mean of its divisors is an integer number (6651656051077).

Almost surely, 2^{13303312102153} is an apocalyptic number.

It is an amenable number.

13303312102153 is a deficient number, since it is larger than the sum of its proper divisors (1).

13303312102153 is an equidigital number, since it uses as much as digits as its factorization.

13303312102153 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4860, while the sum is 28.

Adding to 13303312102153 its reverse (35120121330331), we get a palindrome (48423433432484).

The spelling of 13303312102153 in words is "thirteen trillion, three hundred three billion, three hundred twelve million, one hundred two thousand, one hundred fifty-three".