111101133033313 has 2 divisors, whose sum is σ = 111101133033314. Its totient is φ = 111101133033312.

The previous prime is 111101133033299. The next prime is 111101133033349. The reversal of 111101133033313 is 313330331101111.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 62894939780689 + 48206193252624 = 7930633^2 + 6943068^2 .

It is a cyclic number.

It is not a de Polignac number, because 111101133033313 - 2⁹ = 111101133032801 is a prime.

It is a super-2 number, since 2×111101133033313² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (111101133033113) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55550566516656 + 55550566516657.

It is an arithmetic number, because the mean of its divisors is an integer number (55550566516657).

Almost surely, 2^{111101133033313} is an apocalyptic number.

It is an amenable number.

111101133033313 is a deficient number, since it is larger than the sum of its proper divisors (1).

111101133033313 is an equidigital number, since it uses as much as digits as its factorization.

111101133033313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 729, while the sum is 25.

Adding to 111101133033313 its reverse (313330331101111), we get a palindrome (424431464134424).

The spelling of 111101133033313 in words is "one hundred eleven trillion, one hundred one billion, one hundred thirty-three million, thirty-three thousand, three hundred thirteen".