11190800073013 has 16 divisors (see below), whose sum is σ = 12851004052800. Its totient is φ = 9637766225280.

The previous prime is 11190800072929. The next prime is 11190800073071. The reversal of 11190800073013 is 31037000809111.

11190800073013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 11190800073013 - 2²⁹ = 11190263202101 is a prime.

It is a super-2 number, since 2×11190800073013² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 11190800073013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11190803073013) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7877545 + ... + 9188977.

It is an arithmetic number, because the mean of its divisors is an integer number (803187753300).

Almost surely, 2^{11190800073013} is an apocalyptic number.

It is an amenable number.

11190800073013 is a deficient number, since it is larger than the sum of its proper divisors (1660203979787).

11190800073013 is a wasteful number, since it uses less digits than its factorization.

11190800073013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1352292.

The product of its (nonzero) digits is 4536, while the sum is 34.

The spelling of 11190800073013 in words is "eleven trillion, one hundred ninety billion, eight hundred million, seventy-three thousand, thirteen".