1300132000 has 96 divisors (see below), whose sum is σ = 3362748480. Its totient is φ = 492652800.

The previous prime is 1300131983. The next prime is 1300132007. The reversal of 1300132000 is 2310031.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (1300132007) 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, 67447 + ... + 84553.

It is an arithmetic number, because the mean of its divisors is an integer number (35028630).

Almost surely, 2^1300132000 is an apocalyptic number.

1300132000 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 1300132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1681374240).

1300132000 is an abundant number, since it is smaller than the sum of its proper divisors (2062616480).

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

1300132000 is a wasteful number, since it uses less digits than its factorization.

1300132000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17151 (or 17133 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 10.

The square root of 1300132000 is about 36057.3432188230. The cubic root of 1300132000 is about 1091.4298212623.

Adding to 1300132000 its reverse (2310031), we get a palindrome (1302442031).

The spelling of 1300132000 in words is "one billion, three hundred million, one hundred thirty-two thousand".