100133130331 has 8 divisors (see below), whose sum is σ = 109134905040. Its totient is φ = 91316959392.

The previous prime is 100133130283. The next prime is 100133130343. The reversal of 100133130331 is 133031331001.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 100133130331 - 2⁷ = 100133130203 is a prime.

It is a super-2 number, since 2×100133130331² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100133130299 and 100133130308.

It is not an unprimeable number, because it can be changed into a prime (100133130131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 46399816 + ... + 46401973.

It is an arithmetic number, because the mean of its divisors is an integer number (13641863130).

Almost surely, 2^100133130331 is an apocalyptic number.

100133130331 is a deficient number, since it is larger than the sum of its proper divisors (9001774709).

100133130331 is an equidigital number, since it uses as much as digits as its factorization.

100133130331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92801885.

The product of its (nonzero) digits is 243, while the sum is 19.

Adding to 100133130331 its reverse (133031331001), we get a palindrome (233164461332).

The spelling of 100133130331 in words is "one hundred billion, one hundred thirty-three million, one hundred thirty thousand, three hundred thirty-one".