111333120001001 has 2 divisors, whose sum is σ = 111333120001002. Its totient is φ = 111333120001000.

The previous prime is 111333120000983. The next prime is 111333120001013. The reversal of 111333120001001 is 100100021333111.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 111333118205401 + 1795600 = 10551451^2 + 1340^2 .

It is a cyclic number.

It is not a de Polignac number, because 111333120001001 - 2¹⁰ = 111333119999977 is a prime.

It is not a weakly prime, because it can be changed into another prime (111333120001801) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55666560000500 + 55666560000501.

It is an arithmetic number, because the mean of its divisors is an integer number (55666560000501).

Almost surely, 2^{111333120001001} is an apocalyptic number.

It is an amenable number.

111333120001001 is a deficient number, since it is larger than the sum of its proper divisors (1).

111333120001001 is an equidigital number, since it uses as much as digits as its factorization.

111333120001001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 54, while the sum is 17.

Adding to 111333120001001 its reverse (100100021333111), we get a palindrome (211433141334112).

The spelling of 111333120001001 in words is "one hundred eleven trillion, three hundred thirty-three billion, one hundred twenty million, one thousand, one".