11111003013121 has 16 divisors (see below), whose sum is σ = 12989938796928. Its totient is φ = 9400613587200.

The previous prime is 11111003013101. The next prime is 11111003013137. The reversal of 11111003013121 is 12131030011111.

It is not a de Polignac number, because 11111003013121 - 2⁹ = 11111003012609 is a prime.

It is a super-3 number, since 3×11111003013121³ (a number of 40 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11111003013095 and 11111003013104.

It is not an unprimeable number, because it can be changed into a prime (11111003013101) 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, 593463720 + ... + 593482441.

It is an arithmetic number, because the mean of its divisors is an integer number (811871174808).

Almost surely, 2^{11111003013121} is an apocalyptic number.

11111003013121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11111003013121 is a deficient number, since it is larger than the sum of its proper divisors (1878935783807).

11111003013121 is a wasteful number, since it uses less digits than its factorization.

11111003013121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1186946232.

The product of its (nonzero) digits is 18, while the sum is 16.

Adding to 11111003013121 its reverse (12131030011111), we get a palindrome (23242033024232).

The spelling of 11111003013121 in words is "eleven trillion, one hundred eleven billion, three million, thirteen thousand, one hundred twenty-one".