1331313333 has 16 divisors (see below), whose sum is σ = 2148001920. Its totient is φ = 716000256.

The previous prime is 1331313331. The next prime is 1331313341. The reversal of 1331313333 is 3333131331.

It is not a de Polignac number, because 1331313333 - 2¹ = 1331313331 is a prime.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1331313331) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1864228 + ... + 1864941.

It is an arithmetic number, because the mean of its divisors is an integer number (134250120).

Almost surely, 2^1331313333 is an apocalyptic number.

It is an amenable number.

1331313333 is a deficient number, since it is larger than the sum of its proper divisors (816688587).

1331313333 is a wasteful number, since it uses less digits than its factorization.

1331313333 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3729196.

The product of its digits is 2187, while the sum is 24.

The square root of 1331313333 is about 36487.1666891251. The cubic root of 1331313333 is about 1100.0863108583.

Adding to 1331313333 its reverse (3333131331), we get a palindrome (4664444664).

The spelling of 1331313333 in words is "one billion, three hundred thirty-one million, three hundred thirteen thousand, three hundred thirty-three".