3213002300100 has 144 divisors (see below), whose sum is σ = 9861329834496. Its totient is φ = 804909312000.

The previous prime is 3213002300051. The next prime is 3213002300143. The reversal of 3213002300100 is 10032003123.

3213002300100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 3213002300100.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2176845 + ... + 3341355.

It is an arithmetic number, because the mean of its divisors is an integer number (68481457184).

Almost surely, 2^{3213002300100} is an apocalyptic number.

3213002300100 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 3213002300100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4930664917248).

3213002300100 is an abundant number, since it is smaller than the sum of its proper divisors (6648327534396).

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

3213002300100 is a wasteful number, since it uses less digits than its factorization.

3213002300100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1165086 (or 1165079 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 3213002300100 its reverse (10032003123), we get a palindrome (3223034303223).

The spelling of 3213002300100 in words is "three trillion, two hundred thirteen billion, two million, three hundred thousand, one hundred".