10010800013 has 8 divisors (see below), whose sum is σ = 10664702208. Its totient is φ = 9364123584.

The previous prime is 10010799989. The next prime is 10010800049. The reversal of 10010800013 is 31000801001.

10010800013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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-10010800013 is a prime.

It is a super-2 number, since 2×10010800013² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10010800073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1803581 + ... + 1809122.

It is an arithmetic number, because the mean of its divisors is an integer number (1333087776).

Almost surely, 2^10010800013 is an apocalyptic number.

It is an amenable number.

10010800013 is a deficient number, since it is larger than the sum of its proper divisors (653902195).

10010800013 is a wasteful number, since it uses less digits than its factorization.

10010800013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3612883.

The product of its (nonzero) digits is 24, while the sum is 14.

The spelling of 10010800013 in words is "ten billion, ten million, eight hundred thousand, thirteen".