3213102133020 has 768 divisors, whose sum is σ = 10905211699200. Its totient is φ = 699214602240.

The previous prime is 3213102132971. The next prime is 3213102133027. The reversal of 3213102133020 is 203312013123.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3213102133027) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 2492708536 + ... + 2492709824.

It is an arithmetic number, because the mean of its divisors is an integer number (14199494400).

Almost surely, 2^{3213102133020} is an apocalyptic number.

3213102133020 is a gapful number since it is divisible by the number (30) 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 3213102133020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5452605849600).

3213102133020 is an abundant number, since it is smaller than the sum of its proper divisors (7692109566180).

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

3213102133020 is a wasteful number, since it uses less digits than its factorization.

3213102133020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1530 (or 1528 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 3213102133020 its reverse (203312013123), we get a palindrome (3416414146143).

The spelling of 3213102133020 in words is "three trillion, two hundred thirteen billion, one hundred two million, one hundred thirty-three thousand, twenty".