1305132000000 has 252 divisors, whose sum is σ = 4341927391368. Its totient is φ = 348032000000.

The previous prime is 1305131999959. The next prime is 1305132000089. The reversal of 1305132000000 is 2315031.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 11945620 + ... + 12054380.

Almost surely, 2^{1305132000000} is an apocalyptic number.

1305132000000 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 1305132000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2170963695684).

1305132000000 is an abundant number, since it is smaller than the sum of its proper divisors (3036795391368).

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

1305132000000 is an frugal number, since it uses more digits than its factorization.

1305132000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108810 (or 108771 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 15.

Adding to 1305132000000 its reverse (2315031), we get a palindrome (1305134315031).

The spelling of 1305132000000 in words is "one trillion, three hundred five billion, one hundred thirty-two million", and thus it is an aban number.