100005132313 has 4 divisors (see below), whose sum is σ = 104353181568. Its totient is φ = 95657083060.

The previous prime is 100005132301. The next prime is 100005132347. The reversal of 100005132313 is 313231500001.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 100005132313 - 2¹⁷ = 100005001241 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100005132113) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2174024593 + ... + 2174024638.

It is an arithmetic number, because the mean of its divisors is an integer number (26088295392).

Almost surely, 2^100005132313 is an apocalyptic number.

It is an amenable number.

100005132313 is a deficient number, since it is larger than the sum of its proper divisors (4348049255).

100005132313 is an equidigital number, since it uses as much as digits as its factorization.

100005132313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4348049254.

The product of its (nonzero) digits is 270, while the sum is 19.

Adding to 100005132313 its reverse (313231500001), we get a palindrome (413236632314).

The spelling of 100005132313 in words is "one hundred billion, five million, one hundred thirty-two thousand, three hundred thirteen".