3213330401000 has 64 divisors (see below), whose sum is σ = 7525394819280. Its totient is φ = 1284272044800.

The previous prime is 3213330400949. The next prime is 3213330401003. The reversal of 3213330401000 is 1040333123.

3213330401000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 19511061124 + 3193819339876 = 139682^2 + 1787126^2 .

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

It is not an unprimeable number, because it can be changed into a prime (3213330401003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 111539 + ... + 2537538.

Almost surely, 2^{3213330401000} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3213330401000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3762697409640).

3213330401000 is an abundant number, since it is smaller than the sum of its proper divisors (4312064418280).

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

3213330401000 is a wasteful number, since it uses less digits than its factorization.

3213330401000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2650311 (or 2650297 counting only the distinct ones).

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

Adding to 3213330401000 its reverse (1040333123), we get a palindrome (3214370734123).

The spelling of 3213330401000 in words is "three trillion, two hundred thirteen billion, three hundred thirty million, four hundred one thousand".