323313101100113 has 8 divisors (see below), whose sum is σ = 328620595156776. Its totient is φ = 318005841859200.

The previous prime is 323313101100097. The next prime is 323313101100151. The reversal of 323313101100113 is 311001101313323.

It can be written as a sum of positive squares in 4 ways, for example, as 7786516327489 + 315526584772624 = 2790433^2 + 17763068^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 323313101100113 - 2⁴ = 323313101100097 is a prime.

It is a super-2 number, since 2×323313101100113² (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (323313101100193) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 55926506 + ... + 61436147.

It is an arithmetic number, because the mean of its divisors is an integer number (41077574394597).

Almost surely, 2^{323313101100113} is an apocalyptic number.

It is an amenable number.

323313101100113 is a deficient number, since it is larger than the sum of its proper divisors (5307494056663).

323313101100113 is a wasteful number, since it uses less digits than its factorization.

323313101100113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117407875.

The product of its (nonzero) digits is 486, while the sum is 23.

Adding to 323313101100113 its reverse (311001101313323), we get a palindrome (634314202413436).

The spelling of 323313101100113 in words is "three hundred twenty-three trillion, three hundred thirteen billion, one hundred one million, one hundred thousand, one hundred thirteen".