100021000313 has 16 divisors (see below), whose sum is σ = 110362820736. Its totient is φ = 90058296960.

The previous prime is 100021000279. The next prime is 100021000333. The reversal of 100021000313 is 313000120001.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100021000313 is a prime.

It is a super-2 number, since 2×100021000313² (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 = 100021000294 and 100021000303.

It is not an unprimeable number, because it can be changed into a prime (100021000333) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3475220 + ... + 3503882.

It is an arithmetic number, because the mean of its divisors is an integer number (6897676296).

Almost surely, 2^100021000313 is an apocalyptic number.

100021000313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

100021000313 is a deficient number, since it is larger than the sum of its proper divisors (10341820423).

100021000313 is a wasteful number, since it uses less digits than its factorization.

100021000313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35264.

The product of its (nonzero) digits is 18, while the sum is 11.

Adding to 100021000313 its reverse (313000120001), we get a palindrome (413021120314).

The spelling of 100021000313 in words is "one hundred billion, twenty-one million, three hundred thirteen", and thus it is an aban number.