1331305000 has 40 divisors (see below), whose sum is σ = 3119259330. Its totient is φ = 532520000.

The previous prime is 1331304917. The next prime is 1331305007. The reversal of 1331305000 is 5031331.

It can be written as a sum of positive squares in 5 ways, for example, as 112317604 + 1218987396 = 10598^2 + 34914^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (1331305007) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 128131 + ... + 138130.

Almost surely, 2^1331305000 is an apocalyptic number.

1331305000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1331305000 is an abundant number, since it is smaller than the sum of its proper divisors (1787954330).

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

1331305000 is an equidigital number, since it uses as much as digits as its factorization.

1331305000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266287 (or 266268 counting only the distinct ones).

The product of its (nonzero) digits is 135, while the sum is 16.

The square root of 1331305000 is about 36487.0524981123. The cubic root of 1331305000 is about 1100.0840156215.

Adding to 1331305000 its reverse (5031331), we get a palindrome (1336336331).

The spelling of 1331305000 in words is "one billion, three hundred thirty-one million, three hundred five thousand".