10011200013 has 12 divisors (see below), whose sum is σ = 14697682428. Its totient is φ = 6564720960.

The previous prime is 10011199999. The next prime is 10011200039. The reversal of 10011200013 is 31000211001.

It can be written as a sum of positive squares in 2 ways, for example, as 5094105129 + 4917094884 = 71373^2 + 70122^2 .

It is not a de Polignac number, because 10011200013 - 2⁵ = 10011199981 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 10011199968 and 10011200004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10011200713) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9117120 + ... + 9118217.

It is an arithmetic number, because the mean of its divisors is an integer number (1224806869).

Almost surely, 2^10011200013 is an apocalyptic number.

It is an amenable number.

10011200013 is a deficient number, since it is larger than the sum of its proper divisors (4686482415).

10011200013 is a wasteful number, since it uses less digits than its factorization.

10011200013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18235404 (or 18235401 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 10011200013 its reverse (31000211001), we get a palindrome (41011411014).

The spelling of 10011200013 in words is "ten billion, eleven million, two hundred thousand, thirteen".