2003213312320 has 84 divisors (see below), whose sum is σ = 5243224697172. Its totient is φ = 728441190400.

The previous prime is 2003213312293. The next prime is 2003213312329. The reversal of 2003213312320 is 232133123002.

It can be written as a sum of positive squares in 2 ways, for example, as 1520644124736 + 482569187584 = 1233144^2 + 694672^2 .

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 2003213312291 and 2003213312300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2003213312329) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25829221 + ... + 25906660.

It is an arithmetic number, because the mean of its divisors is an integer number (62419341633).

Almost surely, 2^{2003213312320} is an apocalyptic number.

2003213312320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2003213312320 is an abundant number, since it is smaller than the sum of its proper divisors (3240011384852).

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

2003213312320 is a wasteful number, since it uses less digits than its factorization.

2003213312320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51735920 (or 51735899 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 2003213312320 its reverse (232133123002), we get a palindrome (2235346435322).

The spelling of 2003213312320 in words is "two trillion, three billion, two hundred thirteen million, three hundred twelve thousand, three hundred twenty".