100013032200313 has 8 divisors (see below), whose sum is σ = 100744289771400. Its totient is φ = 99281792534400.

The previous prime is 100013032200203. The next prime is 100013032200331. The reversal of 100013032200313 is 313002230310001.

It can be written as a sum of positive squares in 4 ways, for example, as 20625431159529 + 79387601040784 = 4541523^2 + 8909972^2 .

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100013032200313 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100013092200313) 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, 6840163 + ... + 15710311.

It is an arithmetic number, because the mean of its divisors is an integer number (12593036221425).

Almost surely, 2^{100013032200313} is an apocalyptic number.

It is an amenable number.

100013032200313 is a deficient number, since it is larger than the sum of its proper divisors (731257571087).

100013032200313 is an equidigital number, since it uses as much as digits as its factorization.

100013032200313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8952587.

The product of its (nonzero) digits is 324, while the sum is 19.

Adding to 100013032200313 its reverse (313002230310001), we get a palindrome (413015262510314).

The spelling of 100013032200313 in words is "one hundred trillion, thirteen billion, thirty-two million, two hundred thousand, three hundred thirteen".