11013200103121 has 16 divisors (see below), whose sum is σ = 11138316792400. Its totient is φ = 10888325959680.

The previous prime is 11013200103083. The next prime is 11013200103149. The reversal of 11013200103121 is 12130100231011.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 6284728108096 + 4728471995025 = 2506936^2 + 2174505^2 .

It is a cyclic number.

It is not a de Polignac number, because 11013200103121 - 2²⁵ = 11013166548689 is a prime.

It is a super-2 number, since 2×11013200103121² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 11013200103095 and 11013200103104.

It is not an unprimeable number, because it can be changed into a prime (11013200103161) 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, 385750555 + ... + 385779103.

It is an arithmetic number, because the mean of its divisors is an integer number (696144799525).

Almost surely, 2^{11013200103121} is an apocalyptic number.

It is an amenable number.

11013200103121 is a deficient number, since it is larger than the sum of its proper divisors (125116689279).

11013200103121 is a wasteful number, since it uses less digits than its factorization.

11013200103121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32644.

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 11013200103121 its reverse (12130100231011), we get a palindrome (23143300334132).

The spelling of 11013200103121 in words is "eleven trillion, thirteen billion, two hundred million, one hundred three thousand, one hundred twenty-one".