100211331233133 has 24 divisors (see below), whose sum is σ = 145706225860728. Its totient is φ = 66366282857472.

The previous prime is 100211331233099. The next prime is 100211331233141. The reversal of 100211331233133 is 331332133112001.

100211331233133 is a `hidden beast` number, since 1 + 0 + 0 + 2 + 1 + 13 + 312 + 331 + 3 + 3 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 33595911255204 + 66615419977929 = 5796198^2 + 8161827^2 .

It is not a de Polignac number, because 100211331233133 - 2¹⁴ = 100211331216749 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100211331233097 and 100211331233106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100211331233173) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2450316 + ... + 14367557.

It is an arithmetic number, because the mean of its divisors is an integer number (6071092744197).

Almost surely, 2^{100211331233133} is an apocalyptic number.

It is an amenable number.

100211331233133 is a deficient number, since it is larger than the sum of its proper divisors (45494894627595).

100211331233133 is a wasteful number, since it uses less digits than its factorization.

100211331233133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16822253 (or 16822250 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

Adding to 100211331233133 its reverse (331332133112001), we get a palindrome (431543464345134).

The spelling of 100211331233133 in words is "one hundred trillion, two hundred eleven billion, three hundred thirty-one million, two hundred thirty-three thousand, one hundred thirty-three".