21121322313 has 64 divisors (see below), whose sum is σ = 35665620480. Its totient is φ = 10819049472.

The previous prime is 21121322293. The next prime is 21121322347. The reversal of 21121322313 is 31322312112.

It is not a de Polignac number, because 21121322313 - 2¹² = 21121318217 is a prime.

It is a super-2 number, since 2×21121322313² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 21121322313.

It is not an unprimeable number, because it can be changed into a prime (21121322713) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6230623 + ... + 6234011.

It is an arithmetic number, because the mean of its divisors is an integer number (557275320).

Almost surely, 2^21121322313 is an apocalyptic number.

It is an amenable number.

21121322313 is a deficient number, since it is larger than the sum of its proper divisors (14544298167).

21121322313 is a wasteful number, since it uses less digits than its factorization.

21121322313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4066.

The product of its digits is 432, while the sum is 21.

Adding to 21121322313 its reverse (31322312112), we get a palindrome (52443634425).

The spelling of 21121322313 in words is "twenty-one billion, one hundred twenty-one million, three hundred twenty-two thousand, three hundred thirteen".