21221013323313 has 32 divisors (see below), whose sum is σ = 31916010734720. Its totient is φ = 13932588669120.

The previous prime is 21221013323309. The next prime is 21221013323329. The reversal of 21221013323313 is 31332331012212.

21221013323313 is a `hidden beast` number, since 2 + 1 + 2 + 2 + 10 + 1 + 332 + 3 + 313 = 666.

It is not a de Polignac number, because 21221013323313 - 2² = 21221013323309 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (21221013323303) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5500623 + ... + 8526363.

It is an arithmetic number, because the mean of its divisors is an integer number (997375335460).

Almost surely, 2^{21221013323313} is an apocalyptic number.

It is an amenable number.

21221013323313 is a deficient number, since it is larger than the sum of its proper divisors (10694997411407).

21221013323313 is a wasteful number, since it uses less digits than its factorization.

21221013323313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3029694 (or 3029688 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 21221013323313 its reverse (31332331012212), we get a palindrome (52553344335525).

The spelling of 21221013323313 in words is "twenty-one trillion, two hundred twenty-one billion, thirteen million, three hundred twenty-three thousand, three hundred thirteen".