100130333332131 has 8 divisors (see below), whose sum is σ = 148341234566160. Its totient is φ = 66753555554736.

The previous prime is 100130333332109. The next prime is 100130333332157. The reversal of 100130333332131 is 131233333031001.

100130333332131 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 3 + 0 + 3 + 333 + 321 + 3 + 1 = 666.

It is not a de Polignac number, because 100130333332131 - 2¹⁵ = 100130333299363 is a prime.

It is a super-3 number, since 3×100130333332131³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 3708530864153 = 100130333332131 / (1 + 0 + 0 + 1 + 3 + 0 + 3 + 3 + 3 + 3 + 3 + 2 + 1 + 3 + 1).

It is a junction number, because it is equal to n+sod(n) for n = 100130333332095 and 100130333332104.

It is not an unprimeable number, because it can be changed into a prime (100130333332331) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1854265432050 + ... + 1854265432103.

It is an arithmetic number, because the mean of its divisors is an integer number (18542654320770).

Almost surely, 2^{100130333332131} is an apocalyptic number.

100130333332131 is a deficient number, since it is larger than the sum of its proper divisors (48210901234029).

100130333332131 is an equidigital number, since it uses as much as digits as its factorization.

100130333332131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3708530864162 (or 3708530864156 counting only the distinct ones).

The product of its (nonzero) digits is 4374, while the sum is 27.

Adding to 100130333332131 its reverse (131233333031001), we get a palindrome (231363666363132).

The spelling of 100130333332131 in words is "one hundred trillion, one hundred thirty billion, three hundred thirty-three million, three hundred thirty-two thousand, one hundred thirty-one".