11121011013 has 32 divisors (see below), whose sum is σ = 17273558016. Its totient is φ = 6232963968.

The previous prime is 11121010939. The next prime is 11121011107. The reversal of 11121011013 is 31011012111.

11121011013 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 11121011013 - 2¹² = 11121006917 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 11121011013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11121015013) 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 31 ways as a sum of consecutive naturals, for example, 310870 + ... + 344792.

It is an arithmetic number, because the mean of its divisors is an integer number (539798688).

Almost surely, 2^11121011013 is an apocalyptic number.

It is an amenable number.

11121011013 is a deficient number, since it is larger than the sum of its proper divisors (6152547003).

11121011013 is a wasteful number, since it uses less digits than its factorization.

11121011013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34233.

The product of its (nonzero) digits is 6, while the sum is 12.

Adding to 11121011013 its reverse (31011012111), we get a palindrome (42132023124).

The spelling of 11121011013 in words is "eleven billion, one hundred twenty-one million, eleven thousand, thirteen".