100320322133313 has 40 divisors (see below), whose sum is σ = 156387811333248. Its totient is φ = 63967926756096.

The previous prime is 100320322133299. The next prime is 100320322133327. The reversal of 100320322133313 is 313331223023001.

100320322133313 is a `hidden beast` number, since 1 + 0 + 0 + 3 + 2 + 0 + 322 + 1 + 3 + 331 + 3 = 666.

It is an interprime number because it is at equal distance from previous prime (100320322133299) and next prime (100320322133327).

It is not a de Polignac number, because 100320322133313 - 2⁴⁵ = 65135950044481 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (100320322133113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 25003281 + ... + 28736817.

Almost surely, 2^{100320322133313} is an apocalyptic number.

It is an amenable number.

100320322133313 is a deficient number, since it is larger than the sum of its proper divisors (56067489199935).

100320322133313 is a wasteful number, since it uses less digits than its factorization.

100320322133313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3747995 (or 3747986 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 100320322133313 its reverse (313331223023001), we get a palindrome (413651545156314).

The spelling of 100320322133313 in words is "one hundred trillion, three hundred twenty billion, three hundred twenty-two million, one hundred thirty-three thousand, three hundred thirteen".