1331131311 has 12 divisors (see below), whose sum is σ = 1924994760. Its totient is φ = 886382640.

The previous prime is 1331131261. The next prime is 1331131313. The reversal of 1331131311 is 1131311331.

1331131311 is a `hidden beast` number, since 13 + 311 + 31 + 311 = 666.

It is not a de Polignac number, because 1331131311 - 2⁷ = 1331131183 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 (1331131313) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 78360 + ... + 93821.

It is an arithmetic number, because the mean of its divisors is an integer number (160416230).

Almost surely, 2^1331131311 is an apocalyptic number.

1331131311 is a deficient number, since it is larger than the sum of its proper divisors (593863449).

1331131311 is a wasteful number, since it uses less digits than its factorization.

1331131311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173046 (or 173043 counting only the distinct ones).

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

The square root of 1331131311 is about 36484.6722748060. The cubic root of 1331131311 is about 1100.0361726397.

Adding to 1331131311 its reverse (1131311331), we get a palindrome (2462442642).

The spelling of 1331131311 in words is "one billion, three hundred thirty-one million, one hundred thirty-one thousand, three hundred eleven".