2003213100000 has 432 divisors, whose sum is σ = 7645759608816. Its totient is φ = 457873920000.

The previous prime is 2003213099983. The next prime is 2003213100061. The reversal of 2003213100000 is 13123002.

It is a happy number.

It is a super-2 number, since 2×2003213100000² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 14631864 + ... + 14768136.

It is an arithmetic number, because the mean of its divisors is an integer number (17698517613).

Almost surely, 2^{2003213100000} is an apocalyptic number.

2003213100000 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 2003213100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3822879804408).

2003213100000 is an abundant number, since it is smaller than the sum of its proper divisors (5642546508816).

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

2003213100000 is an equidigital number, since it uses as much as digits as its factorization.

2003213100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136325 (or 136290 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 2003213100000 its reverse (13123002), we get a palindrome (2003226223002).

The spelling of 2003213100000 in words is "two trillion, three billion, two hundred thirteen million, one hundred thousand".