100210133031309 has 30 divisors (see below), whose sum is σ = 174136882727214. Its totient is φ = 57262933158480.

The previous prime is 100210133031299. The next prime is 100210133031317. The reversal of 100210133031309 is 903130331012001.

100210133031309 is a `hidden beast` number, since 1 + 0 + 0 + 2 + 10 + 1 + 330 + 313 + 0 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 67292982432900 + 32917150598409 = 8203230^2 + 5737347^2 .

It is not a de Polignac number, because 100210133031309 - 2¹⁹ = 100210132507021 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100210133031319) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 12624099462 + ... + 12624107399.

Almost surely, 2^{100210133031309} is an apocalyptic number.

It is an amenable number.

100210133031309 is a deficient number, since it is larger than the sum of its proper divisors (73926749695905).

100210133031309 is an equidigital number, since it uses as much as digits as its factorization.

100210133031309 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25248206887 (or 25248206871 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 27.

The spelling of 100210133031309 in words is "one hundred trillion, two hundred ten billion, one hundred thirty-three million, thirty-one thousand, three hundred nine".