10011001100013 has 56 divisors (see below), whose sum is σ = 15097048509600. Its totient is φ = 6635150450784.

The previous prime is 10011001099951. The next prime is 10011001100059. The reversal of 10011001100013 is 31000110011001.

It is not a de Polignac number, because 10011001100013 - 2⁹ = 10011001099501 is a prime.

It is a super-2 number, since 2×10011001100013² (a number of 27 digits) contains 22 as substring.

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 = 10011001099968 and 10011001100004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10011001102013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 884592831 + ... + 884604147.

Almost surely, 2^{10011001100013} is an apocalyptic number.

It is an amenable number.

10011001100013 is a deficient number, since it is larger than the sum of its proper divisors (5086047409587).

10011001100013 is an equidigital number, since it uses as much as digits as its factorization.

10011001100013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18293 (or 18278 counting only the distinct ones).

The product of its (nonzero) digits is 3, while the sum is 9.

Adding to 10011001100013 its reverse (31000110011001), we get a palindrome (41011111111014).

The spelling of 10011001100013 in words is "ten trillion, eleven billion, one million, one hundred thousand, thirteen".