100132021313 has 6 divisors (see below), whose sum is σ = 102056954454. Its totient is φ = 98242735136.

The previous prime is 100132021279. The next prime is 100132021331. The reversal of 100132021313 is 313120231001.

It can be written as a sum of positive squares in 3 ways, for example, as 24114362944 + 76017658369 = 155288^2 + 275713^2 .

It is not a de Polignac number, because 100132021313 - 2⁸ = 100132021057 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100132021291 and 100132021300.

It is not an unprimeable number, because it can be changed into a prime (100132024313) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 17820620 + ... + 17826237.

It is an arithmetic number, because the mean of its divisors is an integer number (17009492409).

Almost surely, 2^100132021313 is an apocalyptic number.

It is an amenable number.

100132021313 is a deficient number, since it is larger than the sum of its proper divisors (1924933141).

100132021313 is an frugal number, since it uses more digits than its factorization.

100132021313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35646963 (or 35646910 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 100132021313 its reverse (313120231001), we get a palindrome (413252252314).

The spelling of 100132021313 in words is "one hundred billion, one hundred thirty-two million, twenty-one thousand, three hundred thirteen".