21223002332313 has 20 divisors (see below), whose sum is σ = 31704040033380. Its totient is φ = 14148426015072.

The previous prime is 21223002332227. The next prime is 21223002332321. The reversal of 21223002332313 is 31323320032212.

21223002332313 is a `hidden beast` number, since 2 + 1 + 2 + 2 + 300 + 23 + 323 + 13 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4560906954384 + 16662095377929 = 2135628^2 + 4081923^2 .

It is not a de Polignac number, because 21223002332313 - 2⁸ = 21223002332057 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (21223002332813) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2581903 + ... + 7008011.

It is an arithmetic number, because the mean of its divisors is an integer number (1585202001669).

Almost surely, 2^{21223002332313} is an apocalyptic number.

It is an amenable number.

21223002332313 is a deficient number, since it is larger than the sum of its proper divisors (10481037701067).

21223002332313 is an equidigital number, since it uses as much as digits as its factorization.

21223002332313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4485318 (or 4485309 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 21223002332313 its reverse (31323320032212), we get a palindrome (52546322364525).

The spelling of 21223002332313 in words is "twenty-one trillion, two hundred twenty-three billion, two million, three hundred thirty-two thousand, three hundred thirteen".