13325308553153 has 2 divisors, whose sum is σ = 13325308553154. Its totient is φ = 13325308553152.

The previous prime is 13325308553083. The next prime is 13325308553177. The reversal of 13325308553153 is 35135580352331.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12428325296689 + 896983256464 = 3525383^2 + 947092^2 .

It is a cyclic number.

It is not a de Polignac number, because 13325308553153 - 2¹² = 13325308549057 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13325308553098 and 13325308553107.

It is not a weakly prime, because it can be changed into another prime (13325308153153) 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, 6662654276576 + 6662654276577.

It is an arithmetic number, because the mean of its divisors is an integer number (6662654276577).

Almost surely, 2^{13325308553153} is an apocalyptic number.

It is an amenable number.

13325308553153 is a deficient number, since it is larger than the sum of its proper divisors (1).

13325308553153 is an equidigital number, since it uses as much as digits as its factorization.

13325308553153 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2430000, while the sum is 47.

The spelling of 13325308553153 in words is "thirteen trillion, three hundred twenty-five billion, three hundred eight million, five hundred fifty-three thousand, one hundred fifty-three".