11010113010013 has 32 divisors (see below), whose sum is σ = 12098163170016. Its totient is φ = 9957071674368.

The previous prime is 11010113009971. The next prime is 11010113010023. The reversal of 11010113010013 is 31001031101011.

It can be written as a sum of positive squares in 16 ways, for example, as 178128734809 + 10831984275204 = 422053^2 + 3291198^2 .

It is not a de Polignac number, because 11010113010013 - 2²⁵ = 11010079455581 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 = 11010113009975 and 11010113010002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11010113010023) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2648569731 + ... + 2648573887.

It is an arithmetic number, because the mean of its divisors is an integer number (378067599063).

Almost surely, 2^{11010113010013} is an apocalyptic number.

11010113010013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

11010113010013 is a deficient number, since it is larger than the sum of its proper divisors (1088050160003).

11010113010013 is a wasteful number, since it uses less digits than its factorization.

11010113010013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8833.

The product of its (nonzero) digits is 9, while the sum is 13.

Adding to 11010113010013 its reverse (31001031101011), we get a palindrome (42011144111024).

The spelling of 11010113010013 in words is "eleven trillion, ten billion, one hundred thirteen million, ten thousand, thirteen".