100100133013213 has 8 divisors (see below), whose sum is σ = 105450305515200. Its totient is φ = 94758134956128.

The previous prime is 100100133013187. The next prime is 100100133013291. The reversal of 100100133013213 is 312310331001001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 100100133013213 - 2²¹ = 100100130916061 is a prime.

It is a super-2 number, since 2×100100133013213² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100100134013213) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2043586081 + ... + 2043635062.

It is an arithmetic number, because the mean of its divisors is an integer number (13181288189400).

Almost surely, 2^{100100133013213} is an apocalyptic number.

It is an amenable number.

100100133013213 is a deficient number, since it is larger than the sum of its proper divisors (5350172501987).

100100133013213 is a wasteful number, since it uses less digits than its factorization.

100100133013213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4087222451.

The product of its (nonzero) digits is 162, while the sum is 19.

Adding to 100100133013213 its reverse (312310331001001), we get a palindrome (412410464014214).

The spelling of 100100133013213 in words is "one hundred trillion, one hundred billion, one hundred thirty-three million, thirteen thousand, two hundred thirteen".