21100313313 has 12 divisors (see below), whose sum is σ = 30585930960. Its totient is φ = 14017167576.

The previous prime is 21100313279. The next prime is 21100313327. The reversal of 21100313313 is 31331300112.

It is a happy number.

It is not a de Polignac number, because 21100313313 - 2²⁹ = 20563442401 is a prime.

It is not an unprimeable number, because it can be changed into a prime (21100313363) 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 11 ways as a sum of consecutive naturals, for example, 4139643 + ... + 4144736.

It is an arithmetic number, because the mean of its divisors is an integer number (2548827580).

Almost surely, 2^21100313313 is an apocalyptic number.

It is an amenable number.

21100313313 is a deficient number, since it is larger than the sum of its proper divisors (9485617647).

21100313313 is a wasteful number, since it uses less digits than its factorization.

21100313313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8284668 (or 8284665 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 21100313313 its reverse (31331300112), we get a palindrome (52431613425).

The spelling of 21100313313 in words is "twenty-one billion, one hundred million, three hundred thirteen thousand, three hundred thirteen".