21100303332013 has 2 divisors, whose sum is σ = 21100303332014. Its totient is φ = 21100303332012.

The previous prime is 21100303331971. The next prime is 21100303332047. The reversal of 21100303332013 is 31023330300112.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10784406417444 + 10315896914569 = 3283962^2 + 3211837^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-21100303332013 is a prime.

It is a super-2 number, since 2×21100303332013² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (21100303362013) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10550151666006 + 10550151666007.

It is an arithmetic number, because the mean of its divisors is an integer number (10550151666007).

Almost surely, 2^{21100303332013} is an apocalyptic number.

It is an amenable number.

21100303332013 is a deficient number, since it is larger than the sum of its proper divisors (1).

21100303332013 is an equidigital number, since it uses as much as digits as its factorization.

21100303332013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 972, while the sum is 22.

Adding to 21100303332013 its reverse (31023330300112), we get a palindrome (52123633632125).

The spelling of 21100303332013 in words is "twenty-one trillion, one hundred billion, three hundred three million, three hundred thirty-two thousand, thirteen".