10001113313 has 8 divisors (see below), whose sum is σ = 10246359816. Its totient is φ = 9755929600.

The previous prime is 10001113307. The next prime is 10001113373. The reversal of 10001113313 is 31331110001.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1343369104 + 8657744209 = 36652^2 + 93047^2 .

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-10001113313 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10001113373) 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, 578645 + ... + 595677.

It is an arithmetic number, because the mean of its divisors is an integer number (1280794977).

Almost surely, 2^10001113313 is an apocalyptic number.

It is an amenable number.

10001113313 is a deficient number, since it is larger than the sum of its proper divisors (245246503).

10001113313 is a wasteful number, since it uses less digits than its factorization.

10001113313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31395.

The product of its (nonzero) digits is 27, while the sum is 14.

Adding to 10001113313 its reverse (31331110001), we get a palindrome (41332223314).

The spelling of 10001113313 in words is "ten billion, one million, one hundred thirteen thousand, three hundred thirteen".