100013332213119 has 96 divisors (see below), whose sum is σ = 160010022767616. Its totient is φ = 55161524275200.

The previous prime is 100013332213073. The next prime is 100013332213147. The reversal of 100013332213119 is 911312233310001.

It is a happy number.

It is not a de Polignac number, because 100013332213119 - 2¹² = 100013332209023 is a prime.

It is a super-2 number, since 2×100013332213119² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100013332213169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17048944 + ... + 22151594.

It is an arithmetic number, because the mean of its divisors is an integer number (1666771070496).

Almost surely, 2^{100013332213119} is an apocalyptic number.

100013332213119 is a deficient number, since it is larger than the sum of its proper divisors (59996690554497).

100013332213119 is a wasteful number, since it uses less digits than its factorization.

100013332213119 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5102785 (or 5102768 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 30.

The spelling of 100013332213119 in words is "one hundred trillion, thirteen billion, three hundred thirty-two million, two hundred thirteen thousand, one hundred nineteen".