100013333013 has 32 divisors (see below), whose sum is σ = 162238723200. Its totient is φ = 60388761600.

The previous prime is 100013333011. The next prime is 100013333023. The reversal of 100013333013 is 310333310001.

It is not a de Polignac number, because 100013333013 - 2¹ = 100013333011 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100013333011) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 546028 + ... + 705813.

It is an arithmetic number, because the mean of its divisors is an integer number (5069960100).

Almost surely, 2^100013333013 is an apocalyptic number.

It is an amenable number.

100013333013 is a deficient number, since it is larger than the sum of its proper divisors (62225390187).

100013333013 is a wasteful number, since it uses less digits than its factorization.

100013333013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1252130 (or 1252124 counting only the distinct ones).

The product of its (nonzero) digits is 243, while the sum is 18.

Adding to 100013333013 its reverse (310333310001), we get a palindrome (410346643014).

The spelling of 100013333013 in words is "one hundred billion, thirteen million, three hundred thirty-three thousand, thirteen".