100032010202133 has 12 divisors (see below), whose sum is σ = 144497041043628. Its totient is φ = 66685071582720.

The previous prime is 100032010202093. The next prime is 100032010202207. The reversal of 100032010202133 is 331202010230001.

100032010202133 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 320 + 10 + 202 + 133 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 67046078819889 + 32985931382244 = 8188167^2 + 5743338^2 .

It is not a de Polignac number, because 100032010202133 - 2¹⁸ = 100032009939989 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100032010212133) 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, 244385710 + ... + 244794687.

It is an arithmetic number, because the mean of its divisors is an integer number (12041420086969).

Almost surely, 2^{100032010202133} is an apocalyptic number.

It is an amenable number.

100032010202133 is a deficient number, since it is larger than the sum of its proper divisors (44465030841495).

100032010202133 is a wasteful number, since it uses less digits than its factorization.

100032010202133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 489203124 (or 489203121 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 100032010202133 its reverse (331202010230001), we get a palindrome (431234020432134).

The spelling of 100032010202133 in words is "one hundred trillion, thirty-two billion, ten million, two hundred two thousand, one hundred thirty-three".