11101002120013 has 24 divisors (see below), whose sum is σ = 12031255370112. Its totient is φ = 10238010277248.

The previous prime is 11101002120007. The next prime is 11101002120031. The reversal of 11101002120013 is 31002120010111.

It is a happy number.

11101002120013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2^k-11101002120013 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 11101002119975 and 11101002120002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11101002120083) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1176821545 + ... + 1176830977.

It is an arithmetic number, because the mean of its divisors is an integer number (501302307088).

Almost surely, 2^{11101002120013} is an apocalyptic number.

11101002120013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

11101002120013 is a deficient number, since it is larger than the sum of its proper divisors (930253250099).

11101002120013 is a wasteful number, since it uses less digits than its factorization.

11101002120013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14885 (or 14872 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 13.

Adding to 11101002120013 its reverse (31002120010111), we get a palindrome (42103122130124).

The spelling of 11101002120013 in words is "eleven trillion, one hundred one billion, two million, one hundred twenty thousand, thirteen".