100001132313 has 8 divisors (see below), whose sum is σ = 133590766176. Its totient is φ = 66539460000.

The previous prime is 100001132281. The next prime is 100001132323. The reversal of 100001132313 is 313231100001.

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

It is not a de Polignac number, because 100001132313 - 2⁵ = 100001132281 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100001132292 and 100001132301.

It is not an unprimeable number, because it can be changed into a prime (100001132323) 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, 31988563 + ... + 31991688.

It is an arithmetic number, because the mean of its divisors is an integer number (16698845772).

Almost surely, 2^100001132313 is an apocalyptic number.

It is an amenable number.

100001132313 is a deficient number, since it is larger than the sum of its proper divisors (33589633863).

100001132313 is an equidigital number, since it uses as much as digits as its factorization.

100001132313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63980775.

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 100001132313 its reverse (313231100001), we get a palindrome (413232232314).

The spelling of 100001132313 in words is "one hundred billion, one million, one hundred thirty-two thousand, three hundred thirteen".