21100331221313 has 4 divisors (see below), whose sum is σ = 21106809680580. Its totient is φ = 21093852762048.

The previous prime is 21100331221303. The next prime is 21100331221339. The reversal of 21100331221313 is 31312213300112.

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 10104057401344 + 10996273819969 = 3178688^2 + 3316063^2 .

It is a cyclic number.

It is not a de Polignac number, because 21100331221313 - 2²⁰ = 21100330172737 is a prime.

It is a super-3 number, since 3×21100331221313³ (a number of 41 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (21100331221303) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3239224748 + ... + 3239231261.

It is an arithmetic number, because the mean of its divisors is an integer number (5276702420145).

Almost surely, 2^{21100331221313} is an apocalyptic number.

It is an amenable number.

21100331221313 is a deficient number, since it is larger than the sum of its proper divisors (6478459267).

21100331221313 is an equidigital number, since it uses as much as digits as its factorization.

21100331221313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6478459266.

The product of its (nonzero) digits is 648, while the sum is 23.

Adding to 21100331221313 its reverse (31312213300112), we get a palindrome (52412544521425).

The spelling of 21100331221313 in words is "twenty-one trillion, one hundred billion, three hundred thirty-one million, two hundred twenty-one thousand, three hundred thirteen".