1331311000 has 128 divisors (see below), whose sum is σ = 3361176000. Its totient is φ = 491904000.

The previous prime is 1331310983. The next prime is 1331311043. The reversal of 1331311000 is 1131331.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 778146 + ... + 779854.

Almost surely, 2^1331311000 is an apocalyptic number.

1331311000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1331311000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1680588000).

1331311000 is an abundant number, since it is smaller than the sum of its proper divisors (2029865000).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1331311000 is a wasteful number, since it uses less digits than its factorization.

1331311000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1790 (or 1776 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 13.

The square root of 1331311000 is about 36487.1347189664. The cubic root of 1331311000 is about 1100.0856682591.

Adding to 1331311000 its reverse (1131331), we get a palindrome (1332442331).

The spelling of 1331311000 in words is "one billion, three hundred thirty-one million, three hundred eleven thousand".