2001132321300 has 720 divisors, whose sum is σ = 7813014435072. Its totient is φ = 433154304000.

The previous prime is 2001132321259. The next prime is 2001132321367. The reversal of 2001132321300 is 31232311002.

2001132321300 is a `hidden beast` number, since 2 + 0 + 0 + 11 + 32 + 321 + 300 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 131706504 + ... + 131721696.

Almost surely, 2^{2001132321300} is an apocalyptic number.

2001132321300 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 2001132321300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3906507217536).

2001132321300 is an abundant number, since it is smaller than the sum of its proper divisors (5811882113772).

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

2001132321300 is a wasteful number, since it uses less digits than its factorization.

2001132321300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15350 (or 15334 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 2001132321300 its reverse (31232311002), we get a palindrome (2032364632302).

The spelling of 2001132321300 in words is "two trillion, one billion, one hundred thirty-two million, three hundred twenty-one thousand, three hundred".