111012112120013 has 12 divisors (see below), whose sum is σ = 120337777392660. Its totient is φ = 102362414409216.

The previous prime is 111012112119943. The next prime is 111012112120031. The reversal of 111012112120013 is 310021211210111.

It can be written as a sum of positive squares in 6 ways, for example, as 42156685581124 + 68855426538889 = 6492818^2 + 8297917^2 .

It is not a de Polignac number, because 111012112120013 - 2²⁸ = 111011843684557 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 111012112119973 and 111012112120000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111012112120093) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 353382506 + ... + 353696507.

It is an arithmetic number, because the mean of its divisors is an integer number (10028148116055).

Almost surely, 2^{111012112120013} is an apocalyptic number.

111012112120013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

111012112120013 is a deficient number, since it is larger than the sum of its proper divisors (9325665272647).

111012112120013 is an equidigital number, since it uses as much as digits as its factorization.

111012112120013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 707079968 (or 707079955 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 17.

Adding to 111012112120013 its reverse (310021211210111), we get a palindrome (421033323330124).

The spelling of 111012112120013 in words is "one hundred eleven trillion, twelve billion, one hundred twelve million, one hundred twenty thousand, thirteen".