3213213002001 has 20 divisors (see below), whose sum is σ = 4800042873252. Its totient is φ = 2142116108928.

The previous prime is 3213213001997. The next prime is 3213213002009. The reversal of 3213213002001 is 1002003123123.

3213213002001 is a `hidden beast` number, since 3 + 21 + 321 + 300 + 20 + 0 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1604313558225 + 1608899443776 = 1266615^2 + 1268424^2 .

It is not a de Polignac number, because 3213213002001 - 2² = 3213213001997 is a prime.

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

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 19 ways as a sum of consecutive naturals, for example, 8423461 + ... + 8796653.

Almost surely, 2^{3213213002001} is an apocalyptic number.

It is an amenable number.

3213213002001 is a deficient number, since it is larger than the sum of its proper divisors (1586829871251).

3213213002001 is a wasteful number, since it uses less digits than its factorization.

3213213002001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 479502 (or 479493 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 3213213002001 its reverse (1002003123123), we get a palindrome (4215216125124).

The spelling of 3213213002001 in words is "three trillion, two hundred thirteen billion, two hundred thirteen million, two thousand, one".