2001302132000 has 96 divisors (see below), whose sum is σ = 4919453046144. Its totient is φ = 800153952000.

The previous prime is 2001302131993. The next prime is 2001302132003. The reversal of 2001302132000 is 2312031002.

It is a happy number.

It is a super-3 number, since 3×2001302132000³ (a number of 38 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (2001302132003) 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, 8698445 + ... + 8925555.

It is an arithmetic number, because the mean of its divisors is an integer number (51244302564).

Almost surely, 2^{2001302132000} is an apocalyptic number.

2001302132000 is a gapful number since it is divisible by the number (20) 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 2001302132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2459726523072).

2001302132000 is an abundant number, since it is smaller than the sum of its proper divisors (2918150914144).

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

2001302132000 is a wasteful number, since it uses less digits than its factorization.

2001302132000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229339 (or 229321 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 2001302132000 its reverse (2312031002), we get a palindrome (2003614163002).

The spelling of 2001302132000 in words is "two trillion, one billion, three hundred two million, one hundred thirty-two thousand".