11121002013 has 16 divisors (see below), whose sum is σ = 17127533376. Its totient is φ = 6343530240.

The previous prime is 11121001987. The next prime is 11121002017. The reversal of 11121002013 is 31020012111.

11121002013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11121002013 - 2⁸ = 11121001757 is a prime.

It is a super-3 number, since 3×11121002013³ (a number of 31 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 11121002013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11121002017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9911206 + ... + 9912327.

It is an arithmetic number, because the mean of its divisors is an integer number (1070470836).

Almost surely, 2^11121002013 is an apocalyptic number.

It is an amenable number.

11121002013 is a deficient number, since it is larger than the sum of its proper divisors (6006531363).

11121002013 is a wasteful number, since it uses less digits than its factorization.

11121002013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19823564.

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

Adding to 11121002013 its reverse (31020012111), we get a palindrome (42141014124).

The spelling of 11121002013 in words is "eleven billion, one hundred twenty-one million, two thousand, thirteen".