2221322313 has 48 divisors (see below), whose sum is σ = 3625485696. Its totient is φ = 1184282880.

The previous prime is 2221322297. The next prime is 2221322321. The reversal of 2221322313 is 3132231222.

It is a happy number.

It is not a de Polignac number, because 2221322313 - 2⁴ = 2221322297 is a prime.

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 2221322313.

It is not an unprimeable number, because it can be changed into a prime (2221322333) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 453031 + ... + 457907.

It is an arithmetic number, because the mean of its divisors is an integer number (75530952).

Almost surely, 2^2221322313 is an apocalyptic number.

2221322313 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

2221322313 is a deficient number, since it is larger than the sum of its proper divisors (1404163383).

2221322313 is a wasteful number, since it uses less digits than its factorization.

2221322313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4974 (or 4951 counting only the distinct ones).

The product of its digits is 864, while the sum is 21.

The square root of 2221322313 is about 47130.9061338736. The cubic root of 2221322313 is about 1304.7797053315.

Adding to 2221322313 its reverse (3132231222), we get a palindrome (5353553535).

The spelling of 2221322313 in words is "two billion, two hundred twenty-one million, three hundred twenty-two thousand, three hundred thirteen".