120011112013 has 16 divisors (see below), whose sum is σ = 132535359936. Its totient is φ = 107962968960.

The previous prime is 120011111963. The next prime is 120011112017. The reversal of 120011112013 is 310211110021.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 120011112013 - 2⁹ = 120011111501 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 120011111984 and 120011112002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120011112017) 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, 385870 + ... + 623632.

It is an arithmetic number, because the mean of its divisors is an integer number (8283459996).

Almost surely, 2^120011112013 is an apocalyptic number.

120011112013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

120011112013 is a deficient number, since it is larger than the sum of its proper divisors (12524247923).

120011112013 is a wasteful number, since it uses less digits than its factorization.

120011112013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238764.

The product of its (nonzero) digits is 12, while the sum is 13.

Adding to 120011112013 its reverse (310211110021), we get a palindrome (430222222034).

The spelling of 120011112013 in words is "one hundred twenty billion, eleven million, one hundred twelve thousand, thirteen".