111101022112013 has 2 divisors, whose sum is σ = 111101022112014. Its totient is φ = 111101022112012.

The previous prime is 111101022112001. The next prime is 111101022112019. The reversal of 111101022112013 is 310211220101111.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 110344562268004 + 756459844009 = 10504502^2 + 869747^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-111101022112013 is a prime.

It is a super-3 number, since 3×111101022112013³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 111101022111982 and 111101022112000.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (111101022112019) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55550511056006 + 55550511056007.

It is an arithmetic number, because the mean of its divisors is an integer number (55550511056007).

Almost surely, 2^{111101022112013} is an apocalyptic number.

It is an amenable number.

111101022112013 is a deficient number, since it is larger than the sum of its proper divisors (1).

111101022112013 is an equidigital number, since it uses as much as digits as its factorization.

111101022112013 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 111101022112013 its reverse (310211220101111), we get a palindrome (421312242213124).

The spelling of 111101022112013 in words is "one hundred eleven trillion, one hundred one billion, twenty-two million, one hundred twelve thousand, thirteen".