100132202100213 has 12 divisors (see below), whose sum is σ = 145029504954048. Its totient is φ = 66572908206120.

The previous prime is 100132202100199. The next prime is 100132202100289. The reversal of 100132202100213 is 312001202231001.

100132202100213 is a `hidden beast` number, since 10 + 0 + 13 + 220 + 210 + 0 + 213 = 666.

It is not a de Polignac number, because 100132202100213 - 2⁸ = 100132202099957 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100132202100313) 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, 15157762683 + ... + 15157769288.

It is an arithmetic number, because the mean of its divisors is an integer number (12085792079504).

Almost surely, 2^{100132202100213} is an apocalyptic number.

It is an amenable number.

100132202100213 is a deficient number, since it is larger than the sum of its proper divisors (44897302853835).

100132202100213 is a wasteful number, since it uses less digits than its factorization.

100132202100213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30315532344 (or 30315532341 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 100132202100213 its reverse (312001202231001), we get a palindrome (412133404331214).

The spelling of 100132202100213 in words is "one hundred trillion, one hundred thirty-two billion, two hundred two million, one hundred thousand, two hundred thirteen".