21001332133013 has 4 divisors (see below), whose sum is σ = 21004105325868. Its totient is φ = 20998558940160.

The previous prime is 21001332132997. The next prime is 21001332133043. The reversal of 21001332133013 is 31033123310012.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 17060146334449 + 3941185798564 = 4130393^2 + 1985242^2 .

It is a cyclic number.

It is not a de Polignac number, because 21001332133013 - 2⁴ = 21001332132997 is a prime.

It is a super-2 number, since 2×21001332133013² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 21001332133013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21001332133043) 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 in 3 ways as a sum of consecutive naturals, for example, 1386585068 + ... + 1386600213.

It is an arithmetic number, because the mean of its divisors is an integer number (5251026331467).

Almost surely, 2^{21001332133013} is an apocalyptic number.

It is an amenable number.

21001332133013 is a deficient number, since it is larger than the sum of its proper divisors (2773192855).

21001332133013 is an equidigital number, since it uses as much as digits as its factorization.

21001332133013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2773192854.

The product of its (nonzero) digits is 972, while the sum is 23.

Adding to 21001332133013 its reverse (31033123310012), we get a palindrome (52034455443025).

The spelling of 21001332133013 in words is "twenty-one trillion, one billion, three hundred thirty-two million, one hundred thirty-three thousand, thirteen".