13303311300121 has 2 divisors, whose sum is σ = 13303311300122. Its totient is φ = 13303311300120.

The previous prime is 13303311300101. The next prime is 13303311300133. The reversal of 13303311300121 is 12100311330331.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9845719808521 + 3457591491600 = 3137789^2 + 1859460^2 .

It is a cyclic number.

It is not a de Polignac number, because 13303311300121 - 2⁹ = 13303311299609 is a prime.

It is a super-2 number, since 2×13303311300121² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13303311300092 and 13303311300101.

It is not a weakly prime, because it can be changed into another prime (13303311300101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6651655650060 + 6651655650061.

It is an arithmetic number, because the mean of its divisors is an integer number (6651655650061).

Almost surely, 2^{13303311300121} is an apocalyptic number.

It is an amenable number.

13303311300121 is a deficient number, since it is larger than the sum of its proper divisors (1).

13303311300121 is an equidigital number, since it uses as much as digits as its factorization.

13303311300121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 486, while the sum is 22.

Adding to 13303311300121 its reverse (12100311330331), we get a palindrome (25403622630452).

The spelling of 13303311300121 in words is "thirteen trillion, three hundred three billion, three hundred eleven million, three hundred thousand, one hundred twenty-one".