1331103311 has 16 divisors (see below), whose sum is σ = 1480627200. Its totient is φ = 1190917728.

The previous prime is 1331103251. The next prime is 1331103317. The reversal of 1331103311 is 1133011331.

It is a cyclic number.

It is not a de Polignac number, because 1331103311 - 2²⁶ = 1263994447 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1331103311.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1331103317) 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 in 15 ways as a sum of consecutive naturals, for example, 15245 + ... + 53801.

It is an arithmetic number, because the mean of its divisors is an integer number (92539200).

Almost surely, 2^1331103311 is an apocalyptic number.

1331103311 is a deficient number, since it is larger than the sum of its proper divisors (149523889).

1331103311 is a wasteful number, since it uses less digits than its factorization.

1331103311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38678.

The product of its (nonzero) digits is 81, while the sum is 17.

The square root of 1331103311 is about 36484.2885500046. The cubic root of 1331103311 is about 1100.0284595943.

Adding to 1331103311 its reverse (1133011331), we get a palindrome (2464114642).

The spelling of 1331103311 in words is "one billion, three hundred thirty-one million, one hundred three thousand, three hundred eleven".