3213213002000 has 160 divisors (see below), whose sum is σ = 7794226387584. Its totient is φ = 1281209664000.

The previous prime is 3213213001997. The next prime is 3213213002009. The reversal of 3213213002000 is 2003123123.

It is a self number, because there is not a number n which added to its sum of digits gives 3213213002000.

It is not an unprimeable number, because it can be changed into a prime (3213213002009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1401312854 + ... + 1401315146.

Almost surely, 2^{3213213002000} 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 3213213002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3897113193792).

3213213002000 is an abundant number, since it is smaller than the sum of its proper divisors (4581013385584).

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

3213213002000 is a wasteful number, since it uses less digits than its factorization.

3213213002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4234 (or 4218 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 3213213002000 its reverse (2003123123), we get a palindrome (3215216125123).

The spelling of 3213213002000 in words is "three trillion, two hundred thirteen billion, two hundred thirteen million, two thousand".