10001313113 has 16 divisors (see below), whose sum is σ = 11133101376. Its totient is φ = 8907138240.

The previous prime is 10001313109. The next prime is 10001313121. The reversal of 10001313113 is 31131310001.

It is a happy number.

It is not a de Polignac number, because 10001313113 - 2² = 10001313109 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10001315113) 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, 385631 + ... + 410747.

It is an arithmetic number, because the mean of its divisors is an integer number (695818836).

Almost surely, 2^10001313113 is an apocalyptic number.

It is an amenable number.

10001313113 is a deficient number, since it is larger than the sum of its proper divisors (1131788263).

10001313113 is a wasteful number, since it uses less digits than its factorization.

10001313113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25864.

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

Adding to 10001313113 its reverse (31131310001), we get a palindrome (41132623114).

The spelling of 10001313113 in words is "ten billion, one million, three hundred thirteen thousand, one hundred thirteen".