100213103333213 has 16 divisors (see below), whose sum is σ = 111167507221680. Its totient is φ = 89737208902656.

The previous prime is 100213103333177. The next prime is 100213103333249. The reversal of 100213103333213 is 312333301312001.

It is an interprime number because it is at equal distance from previous prime (100213103333177) and next prime (100213103333249).

It can be written as a sum of positive squares in 8 ways, for example, as 317935844164 + 99895167489049 = 563858^2 + 9994757^2 .

It is a cyclic number.

It is not a de Polignac number, because 100213103333213 - 2⁶ = 100213103333149 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100213103333713) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 308952518 + ... + 309276711.

It is an arithmetic number, because the mean of its divisors is an integer number (6947969201355).

Almost surely, 2^{100213103333213} is an apocalyptic number.

100213103333213 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

100213103333213 is a deficient number, since it is larger than the sum of its proper divisors (10954403888467).

100213103333213 is a wasteful number, since it uses less digits than its factorization.

100213103333213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 618229616.

The product of its (nonzero) digits is 2916, while the sum is 26.

Adding to 100213103333213 its reverse (312333301312001), we get a palindrome (412546404645214).

The spelling of 100213103333213 in words is "one hundred trillion, two hundred thirteen billion, one hundred three million, three hundred thirty-three thousand, two hundred thirteen".