100013322313 has 8 divisors (see below), whose sum is σ = 100124288000. Its totient is φ = 99902416608.

The previous prime is 100013322289. The next prime is 100013322317. The reversal of 100013322313 is 313223310001.

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 100013322313 - 2⁵ = 100013322281 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100013322317) 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, 3856213 + ... + 3882061.

It is an arithmetic number, because the mean of its divisors is an integer number (12515536000).

Almost surely, 2^100013322313 is an apocalyptic number.

It is an amenable number.

100013322313 is a deficient number, since it is larger than the sum of its proper divisors (110965687).

100013322313 is a wasteful number, since it uses less digits than its factorization.

100013322313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29991.

The product of its (nonzero) digits is 324, while the sum is 19.

Adding to 100013322313 its reverse (313223310001), we get a palindrome (413236632314).

The spelling of 100013322313 in words is "one hundred billion, thirteen million, three hundred twenty-two thousand, three hundred thirteen".