100101333213 has 24 divisors (see below), whose sum is σ = 165256897728. Its totient is φ = 57197212992.

The previous prime is 100101333203. The next prime is 100101333239. The reversal of 100101333213 is 312333101001.

It is a happy number.

It is not a de Polignac number, because 100101333213 - 2⁵ = 100101333181 is a prime.

It is a super-2 number, since 2×100101333213² (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 (100101333203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1239570 + ... + 1317852.

It is an arithmetic number, because the mean of its divisors is an integer number (6885704072).

Almost surely, 2^100101333213 is an apocalyptic number.

It is an amenable number.

100101333213 is a deficient number, since it is larger than the sum of its proper divisors (65155564515).

100101333213 is a wasteful number, since it uses less digits than its factorization.

100101333213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98593 (or 98590 counting only the distinct ones).

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

Adding to 100101333213 its reverse (312333101001), we get a palindrome (412434434214).

The spelling of 100101333213 in words is "one hundred billion, one hundred one million, three hundred thirty-three thousand, two hundred thirteen".