1111131303001 has 2 divisors, whose sum is σ = 1111131303002. Its totient is φ = 1111131303000.

The previous prime is 1111131302987. The next prime is 1111131303031. The reversal of 1111131303001 is 1003031311111.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 725426958400 + 385704344601 = 851720^2 + 621051^2 .

It is a cyclic number.

It is not a de Polignac number, because 1111131303001 - 2¹⁵ = 1111131270233 is a prime.

It is a super-2 number, since 2×1111131303001² (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (1111131303031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 555565651500 + 555565651501.

It is an arithmetic number, because the mean of its divisors is an integer number (555565651501).

Almost surely, 2^{1111131303001} is an apocalyptic number.

It is an amenable number.

1111131303001 is a deficient number, since it is larger than the sum of its proper divisors (1).

1111131303001 is an equidigital number, since it uses as much as digits as its factorization.

1111131303001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 27, while the sum is 16.

Adding to 1111131303001 its reverse (1003031311111), we get a palindrome (2114162614112).

The spelling of 1111131303001 in words is "one trillion, one hundred eleven billion, one hundred thirty-one million, three hundred three thousand, one".