1331223311133 has 80 divisors (see below), whose sum is σ = 2058484137600. Its totient is φ = 860248506816.

The previous prime is 1331223311113. The next prime is 1331223311153. The reversal of 1331223311133 is 3311133221331.

1331223311133 is a `hidden beast` number, since 1 + 3 + 312 + 2 + 3 + 311 + 1 + 33 = 666.

It is an interprime number because it is at equal distance from previous prime (1331223311113) and next prime (1331223311153).

It is not a de Polignac number, because 1331223311133 - 2¹⁸ = 1331223048989 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1331223311097 and 1331223311106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1331223311113) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 201727768 + ... + 201734366.

It is an arithmetic number, because the mean of its divisors is an integer number (25731051720).

Almost surely, 2^{1331223311133} is an apocalyptic number.

It is an amenable number.

1331223311133 is a deficient number, since it is larger than the sum of its proper divisors (727260826467).

1331223311133 is an frugal number, since it uses more digits than its factorization.

1331223311133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6940 (or 6916 counting only the distinct ones).

The product of its digits is 2916, while the sum is 27.

Adding to 1331223311133 its reverse (3311133221331), we get a palindrome (4642356532464).

The spelling of 1331223311133 in words is "one trillion, three hundred thirty-one billion, two hundred twenty-three million, three hundred eleven thousand, one hundred thirty-three".