1131110333001 has 18 divisors (see below), whose sum is σ = 1795858372490. Its totient is φ = 685521413280.

The previous prime is 1131110332999. The next prime is 1131110333027. The reversal of 1131110333001 is 1003330111311.

1131110333001 is a `hidden beast` number, since 11 + 311 + 10 + 3 + 330 + 0 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 937897339401 + 193212993600 = 968451^2 + 439560^2 .

It is not a de Polignac number, because 1131110333001 - 2¹ = 1131110332999 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1131110333051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 519333316 + ... + 519335493.

Almost surely, 2^{1131110333001} is an apocalyptic number.

1131110333001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1131110333001 is a deficient number, since it is larger than the sum of its proper divisors (664748039489).

1131110333001 is a wasteful number, since it uses less digits than its factorization.

1131110333001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1038668837 (or 1038668823 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 18.

Adding to 1131110333001 its reverse (1003330111311), we get a palindrome (2134440444312).

The spelling of 1131110333001 in words is "one trillion, one hundred thirty-one billion, one hundred ten million, three hundred thirty-three thousand, one".