3201313342000 has 80 divisors (see below), whose sum is σ = 7747437159072. Its totient is φ = 1279423353600.

The previous prime is 3201313341997. The next prime is 3201313342009. The reversal of 3201313342000 is 2433131023.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×3201313342000² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3201313342009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1637842 + ... + 3014158.

Almost surely, 2^{3201313342000} 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 3201313342000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3873718579536).

3201313342000 is an abundant number, since it is smaller than the sum of its proper divisors (4546123817072).

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

3201313342000 is a wasteful number, since it uses less digits than its factorization.

3201313342000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1377503 (or 1377487 counting only the distinct ones).

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

Adding to 3201313342000 its reverse (2433131023), we get a palindrome (3203746473023).

The spelling of 3201313342000 in words is "three trillion, two hundred one billion, three hundred thirteen million, three hundred forty-two thousand".