1300032000 has 480 divisors, whose sum is σ = 4887861264. Its totient is φ = 331776000.

The previous prime is 1300031987. The next prime is 1300032001. The reversal of 1300032000 is 2300031.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 14379264 + 1285652736 = 3792^2 + 35856^2 .

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (1300032001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21311970 + ... + 21312030.

Almost surely, 2^1300032000 is an apocalyptic number.

1300032000 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 1300032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2443930632).

1300032000 is an abundant number, since it is smaller than the sum of its proper divisors (3587829264).

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

1300032000 is an equidigital number, since it uses as much as digits as its factorization.

1300032000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 9.

The square root of 1300032000 is about 36055.9565120661. The cubic root of 1300032000 is about 1091.4018380062.

Adding to 1300032000 its reverse (2300031), we get a palindrome (1302332031).

The spelling of 1300032000 in words is "one billion, three hundred million, thirty-two thousand".