100321313013 has 24 divisors (see below), whose sum is σ = 151895103360. Its totient is φ = 63732191040.

The previous prime is 100321313011. The next prime is 100321313017. The reversal of 100321313013 is 310313123001.

It is a happy number.

100321313013 is a `hidden beast` number, since 10 + 0 + 321 + 31 + 301 + 3 = 666.

It is not a de Polignac number, because 100321313013 - 2¹ = 100321313011 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100321313011) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3145453 + ... + 3177186.

It is an arithmetic number, because the mean of its divisors is an integer number (6328962640).

Almost surely, 2^100321313013 is an apocalyptic number.

It is an amenable number.

100321313013 is a deficient number, since it is larger than the sum of its proper divisors (51573790347).

100321313013 is a wasteful number, since it uses less digits than its factorization.

100321313013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6322729 (or 6322726 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 100321313013 its reverse (310313123001), we get a palindrome (410634436014).

The spelling of 100321313013 in words is "one hundred billion, three hundred twenty-one million, three hundred thirteen thousand, thirteen".