13311133013021 has 2 divisors, whose sum is σ = 13311133013022. Its totient is φ = 13311133013020.

The previous prime is 13311133012993. The next prime is 13311133013029. The reversal of 13311133013021 is 12031033111331.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9652137890521 + 3658995122500 = 3106789^2 + 1912850^2 .

It is a cyclic number.

It is not a de Polignac number, because 13311133013021 - 2³⁴ = 13293953143837 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13311133013029) 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, 6655566506510 + 6655566506511.

It is an arithmetic number, because the mean of its divisors is an integer number (6655566506511).

Almost surely, 2^{13311133013021} is an apocalyptic number.

It is an amenable number.

13311133013021 is a deficient number, since it is larger than the sum of its proper divisors (1).

13311133013021 is an equidigital number, since it uses as much as digits as its factorization.

13311133013021 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 23.

Adding to 13311133013021 its reverse (12031033111331), we get a palindrome (25342166124352).

The spelling of 13311133013021 in words is "thirteen trillion, three hundred eleven billion, one hundred thirty-three million, thirteen thousand, twenty-one".