10001000013313 has 16 divisors (see below), whose sum is σ = 10264066560720. Its totient is φ = 9738856192000.

The previous prime is 10001000013281. The next prime is 10001000013373. The reversal of 10001000013313 is 31331000010001.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 388662471184 + 9612337542129 = 623428^2 + 3100377^2 .

It is a cyclic number.

It is not a de Polignac number, because 10001000013313 - 2⁵ = 10001000013281 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10001000013293 and 10001000013302.

It is not an unprimeable number, because it can be changed into a prime (10001000013373) 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, 72348963 + ... + 72487063.

It is an arithmetic number, because the mean of its divisors is an integer number (641504160045).

Almost surely, 2^{10001000013313} is an apocalyptic number.

It is an amenable number.

10001000013313 is a deficient number, since it is larger than the sum of its proper divisors (263066547407).

10001000013313 is a wasteful number, since it uses less digits than its factorization.

10001000013313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141428.

The product of its (nonzero) digits is 27, while the sum is 13.

Adding to 10001000013313 its reverse (31331000010001), we get a palindrome (41332000023314).

The spelling of 10001000013313 in words is "ten trillion, one billion, thirteen thousand, three hundred thirteen".