3213431321100 has 576 divisors, whose sum is σ = 12623762027520. Its totient is φ = 609431961600.

The previous prime is 3213431321099. The next prime is 3213431321101. The reversal of 3213431321100 is 11231343123.

It is an interprime number because it is at equal distance from previous prime (3213431321099) and next prime (3213431321101).

It is a super-3 number, since 3×3213431321100³ (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (3213431321101) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 26666584 + ... + 26786816.

It is an arithmetic number, because the mean of its divisors is an integer number (21916253520).

Almost surely, 2^{3213431321100} is an apocalyptic number.

3213431321100 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 3213431321100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6311881013760).

3213431321100 is an abundant number, since it is smaller than the sum of its proper divisors (9410330706420).

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

3213431321100 is a wasteful number, since it uses less digits than its factorization.

3213431321100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120370 (or 120363 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 3213431321100 its reverse (11231343123), we get a palindrome (3224662664223).

The spelling of 3213431321100 in words is "three trillion, two hundred thirteen billion, four hundred thirty-one million, three hundred twenty-one thousand, one hundred".