1331131223311 has 32 divisors (see below), whose sum is σ = 1496659507200. Its totient is φ = 1178615370240.

The previous prime is 1331131223309. The next prime is 1331131223347. The reversal of 1331131223311 is 1133221311331.

It is a cyclic number.

It is not a de Polignac number, because 1331131223311 - 2¹ = 1331131223309 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1331131223711) 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 31 ways as a sum of consecutive naturals, for example, 1958835 + ... + 2549371.

It is an arithmetic number, because the mean of its divisors is an integer number (46770609600).

Almost surely, 2^{1331131223311} is an apocalyptic number.

1331131223311 is a deficient number, since it is larger than the sum of its proper divisors (165528283889).

1331131223311 is a wasteful number, since it uses less digits than its factorization.

1331131223311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 590719.

The product of its digits is 972, while the sum is 25.

Adding to 1331131223311 its reverse (1133221311331), we get a palindrome (2464352534642).

The spelling of 1331131223311 in words is "one trillion, three hundred thirty-one billion, one hundred thirty-one million, two hundred twenty-three thousand, three hundred eleven".