100333031013 has 12 divisors (see below), whose sum is σ = 145968120480. Its totient is φ = 66407472936.

The previous prime is 100333030969. The next prime is 100333031063. The reversal of 100333031013 is 310130333001.

100333031013 is a `hidden beast` number, since 10 + 0 + 3 + 330 + 310 + 13 = 666.

It is not a de Polignac number, because 100333031013 - 2¹⁶ = 100332965477 is a prime.

It is a super-2 number, since 2×100333031013² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100333031063) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 40099881 + ... + 40102382.

It is an arithmetic number, because the mean of its divisors is an integer number (12164010040).

Almost surely, 2^100333031013 is an apocalyptic number.

It is an amenable number.

100333031013 is a deficient number, since it is larger than the sum of its proper divisors (45635089467).

100333031013 is a wasteful number, since it uses less digits than its factorization.

100333031013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80202408 (or 80202405 counting only the distinct ones).

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

Adding to 100333031013 its reverse (310130333001), we get a palindrome (410463364014).

The spelling of 100333031013 in words is "one hundred billion, three hundred thirty-three million, thirty-one thousand, thirteen".