2003132331200 has 672 divisors, whose sum is σ = 7007284505088. Its totient is φ = 542416896000.

The previous prime is 2003132331089. The next prime is 2003132331253. The reversal of 2003132331200 is 21332313002.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 27190415 + ... + 27263985.

It is an arithmetic number, because the mean of its divisors is an integer number (10427506704).

Almost surely, 2^{2003132331200} is an apocalyptic number.

2003132331200 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 2003132331200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3503642252544).

2003132331200 is an abundant number, since it is smaller than the sum of its proper divisors (5004152173888).

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

2003132331200 is a wasteful number, since it uses less digits than its factorization.

2003132331200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73641 (or 73626 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 2003132331200 its reverse (21332313002), we get a palindrome (2024464644202).

It can be divided in two parts, 2003132 and 331200, that added together give a palindrome (2334332).

The spelling of 2003132331200 in words is "two trillion, three billion, one hundred thirty-two million, three hundred thirty-one thousand, two hundred".