11122000110013 has 16 divisors (see below), whose sum is σ = 12798449238960. Its totient is φ = 9573904843776.

The previous prime is 11122000109953. The next prime is 11122000110031. The reversal of 11122000110013 is 31001100022111.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 507260177284 + 10614739932729 = 712222^2 + 3258027^2 .

It is not a de Polignac number, because 11122000110013 - 2⁹ = 11122000109501 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 = 11122000109975 and 11122000110002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11122000110083) 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, 230828170 + ... + 230876347.

It is an arithmetic number, because the mean of its divisors is an integer number (799903077435).

Almost surely, 2^{11122000110013} is an apocalyptic number.

11122000110013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

11122000110013 is a deficient number, since it is larger than the sum of its proper divisors (1676449128947).

11122000110013 is a wasteful number, since it uses less digits than its factorization.

11122000110013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 461704656.

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

Adding to 11122000110013 its reverse (31001100022111), we get a palindrome (42123100132124).

The spelling of 11122000110013 in words is "eleven trillion, one hundred twenty-two billion, one hundred ten thousand, thirteen".