111011000013 has 48 divisors (see below), whose sum is σ = 167532333696. Its totient is φ = 73455076800.

The previous prime is 111010999963. The next prime is 111011000017. The reversal of 111011000013 is 310000110111.

It is not a de Polignac number, because 111011000013 - 2¹⁸ = 111010737869 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 111010999959 and 111011000004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111011000017) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29467456 + ... + 29471222.

It is an arithmetic number, because the mean of its divisors is an integer number (3490256952).

Almost surely, 2^111011000013 is an apocalyptic number.

It is an amenable number.

111011000013 is a deficient number, since it is larger than the sum of its proper divisors (56521333683).

111011000013 is an equidigital number, since it uses as much as digits as its factorization.

111011000013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4656 (or 4644 counting only the distinct ones).

The product of its (nonzero) digits is 3, while the sum is 9.

Adding to 111011000013 its reverse (310000110111), we get a palindrome (421011110124).

The spelling of 111011000013 in words is "one hundred eleven billion, eleven million, thirteen", and thus it is an aban number.