13300303121033 has 2 divisors, whose sum is σ = 13300303121034. Its totient is φ = 13300303121032.

The previous prime is 13300303120931. The next prime is 13300303121107. The reversal of 13300303121033 is 33012130300331.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11595850151824 + 1704452969209 = 3405268^2 + 1305547^2 .

It is a cyclic number.

It is not a de Polignac number, because 13300303121033 - 2²² = 13300298926729 is a prime.

It is a super-2 number, since 2×13300303121033² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (13300303121333) 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, 6650151560516 + 6650151560517.

It is an arithmetic number, because the mean of its divisors is an integer number (6650151560517).

Almost surely, 2^{13300303121033} is an apocalyptic number.

It is an amenable number.

13300303121033 is a deficient number, since it is larger than the sum of its proper divisors (1).

13300303121033 is an equidigital number, since it uses as much as digits as its factorization.

13300303121033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1458, while the sum is 23.

Adding to 13300303121033 its reverse (33012130300331), we get a palindrome (46312433421364).

The spelling of 13300303121033 in words is "thirteen trillion, three hundred billion, three hundred three million, one hundred twenty-one thousand, thirty-three".