11112012112013 has 2 divisors, whose sum is σ = 11112012112014. Its totient is φ = 11112012112012.

The previous prime is 11112012112007. The next prime is 11112012112043. The reversal of 11112012112013 is 31021121021111.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 5622864502564 + 5489147609449 = 2371258^2 + 2342893^2 .

It is a cyclic number.

It is not a de Polignac number, because 11112012112013 - 2¹⁰ = 11112012110989 is a prime.

It is a super-2 number, since 2×11112012112013² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11112012111982 and 11112012112000.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (11112012112043) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5556006056006 + 5556006056007.

It is an arithmetic number, because the mean of its divisors is an integer number (5556006056007).

Almost surely, 2^{11112012112013} is an apocalyptic number.

It is an amenable number.

11112012112013 is a deficient number, since it is larger than the sum of its proper divisors (1).

11112012112013 is an equidigital number, since it uses as much as digits as its factorization.

11112012112013 is an evil number, because the sum of its binary digits is even.

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

Adding to 11112012112013 its reverse (31021121021111), we get a palindrome (42133133133124).

The spelling of 11112012112013 in words is "eleven trillion, one hundred twelve billion, twelve million, one hundred twelve thousand, thirteen".