100013303213 has 16 divisors (see below), whose sum is σ = 104115123840. Its totient is φ = 95994040896.

The previous prime is 100013303209. The next prime is 100013303249. The reversal of 100013303213 is 312303310001.

It is a cyclic number.

It is not a de Polignac number, because 100013303213 - 2² = 100013303209 is a prime.

It is a super-2 number, since 2×100013303213² (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 = 100013303191 and 100013303200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100013303263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 745520 + ... + 869382.

It is an arithmetic number, because the mean of its divisors is an integer number (6507195240).

Almost surely, 2^100013303213 is an apocalyptic number.

It is an amenable number.

100013303213 is a deficient number, since it is larger than the sum of its proper divisors (4101820627).

100013303213 is a wasteful number, since it uses less digits than its factorization.

100013303213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124196.

The product of its (nonzero) digits is 162, while the sum is 17.

Adding to 100013303213 its reverse (312303310001), we get a palindrome (412316613214).

The spelling of 100013303213 in words is "one hundred billion, thirteen million, three hundred three thousand, two hundred thirteen".