1331113311 has 64 divisors (see below), whose sum is σ = 2356646400. Its totient is φ = 733017600.

The previous prime is 1331113283. The next prime is 1331113349. The reversal of 1331113311 is 1133111331.

1331113311 is a `hidden beast` number, since 1 + 331 + 1 + 1 + 331 + 1 = 666.

It is not a de Polignac number, because 1331113311 - 2⁵ = 1331113279 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 (1331113351) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 141876 + ... + 150966.

It is an arithmetic number, because the mean of its divisors is an integer number (36822600).

Almost surely, 2^1331113311 is an apocalyptic number.

1331113311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1331113311 is a deficient number, since it is larger than the sum of its proper divisors (1025533089).

1331113311 is a wasteful number, since it uses less digits than its factorization.

1331113311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9157 (or 9151 counting only the distinct ones).

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

The square root of 1331113311 is about 36484.4255950399. The cubic root of 1331113311 is about 1100.0312142658.

Adding to 1331113311 its reverse (1133111331), we get a palindrome (2464224642).

The spelling of 1331113311 in words is "one billion, three hundred thirty-one million, one hundred thirteen thousand, three hundred eleven".