111101123131133 has 2 divisors, whose sum is σ = 111101123131134. Its totient is φ = 111101123131132.

The previous prime is 111101123131079. The next prime is 111101123131147. The reversal of 111101123131133 is 331131321101111.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 97919772375364 + 13181350755769 = 9895442^2 + 3630613^2 .

It is a cyclic number.

It is not a de Polignac number, because 111101123131133 - 2²⁴ = 111101106353917 is a prime.

It is a super-2 number, since 2×111101123131133² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 111101123131099 and 111101123131108.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (111101123130133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55550561565566 + 55550561565567.

It is an arithmetic number, because the mean of its divisors is an integer number (55550561565567).

Almost surely, 2^{111101123131133} is an apocalyptic number.

It is an amenable number.

111101123131133 is a deficient number, since it is larger than the sum of its proper divisors (1).

111101123131133 is an equidigital number, since it uses as much as digits as its factorization.

111101123131133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 162, while the sum is 23.

Adding to 111101123131133 its reverse (331131321101111), we get a palindrome (442232444232244).

The spelling of 111101123131133 in words is "one hundred eleven trillion, one hundred one billion, one hundred twenty-three million, one hundred thirty-one thousand, one hundred thirty-three".