100100213313 has 8 divisors (see below), whose sum is σ = 133471527648. Its totient is φ = 66731187264.

The previous prime is 100100213303. The next prime is 100100213359. The reversal of 100100213313 is 313312001001.

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

It is not a de Polignac number, because 100100213313 - 2⁵ = 100100213281 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100100213292 and 100100213301.

It is not an unprimeable number, because it can be changed into a prime (100100213303) 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, 467256 + ... + 646937.

It is an arithmetic number, because the mean of its divisors is an integer number (16683940956).

Almost surely, 2^100100213313 is an apocalyptic number.

It is an amenable number.

100100213313 is a deficient number, since it is larger than the sum of its proper divisors (33371314335).

100100213313 is a wasteful number, since it uses less digits than its factorization.

100100213313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1144143.

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

Adding to 100100213313 its reverse (313312001001), we get a palindrome (413412214314).

The spelling of 100100213313 in words is "one hundred billion, one hundred million, two hundred thirteen thousand, three hundred thirteen".