2001321133200 has 90 divisors (see below), whose sum is σ = 6945140267234. Its totient is φ = 533685634560.

The previous prime is 2001321133183. The next prime is 2001321133241. The reversal of 2001321133200 is 23311231002.

2001321133200 is a `hidden beast` number, since 20 + 0 + 1 + 321 + 1 + 3 + 320 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 528418501776 + 1472902631424 = 726924^2 + 1213632^2 .

It is a tau number, because it is divible by the number of its divisors (90).

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

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 277957669 + ... + 277964868.

Almost surely, 2^{2001321133200} is an apocalyptic number.

2001321133200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2001321133200 is an abundant number, since it is smaller than the sum of its proper divisors (4943819134034).

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

2001321133200 is a wasteful number, since it uses less digits than its factorization.

2001321133200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 555922561 (or 555922547 counting only the distinct ones).

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

Adding to 2001321133200 its reverse (23311231002), we get a palindrome (2024632364202).

It can be divided in two parts, 2001321 and 133200, that added together give a square (2134521 = 1461²).

The spelling of 2001321133200 in words is "two trillion, one billion, three hundred twenty-one million, one hundred thirty-three thousand, two hundred".