221323232313 has 96 divisors (see below), whose sum is σ = 349528608000. Its totient is φ = 134526712320.

The previous prime is 221323232303. The next prime is 221323232323. The reversal of 221323232313 is 313232323122.

221323232313 is a `hidden beast` number, since 2 + 2 + 1 + 323 + 2 + 323 + 13 = 666.

It is an interprime number because it is at equal distance from previous prime (221323232303) and next prime (221323232323).

It is not a de Polignac number, because 221323232313 - 2¹⁴ = 221323215929 is a prime.

It is a super-2 number, since 2×221323232313² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (221323232303) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 180083383 + ... + 180084611.

It is an arithmetic number, because the mean of its divisors is an integer number (3640923000).

Almost surely, 2^221323232313 is an apocalyptic number.

221323232313 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

221323232313 is a deficient number, since it is larger than the sum of its proper divisors (128205375687).

221323232313 is a wasteful number, since it uses less digits than its factorization.

221323232313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1647 (or 1644 counting only the distinct ones).

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

Adding to 221323232313 its reverse (313232323122), we get a palindrome (534555555435).

The spelling of 221323232313 in words is "two hundred twenty-one billion, three hundred twenty-three million, two hundred thirty-two thousand, three hundred thirteen".