213333003203120 has 40 divisors (see below), whose sum is σ = 513102654261360. Its totient is φ = 82390677098240.

The previous prime is 213333003203101. The next prime is 213333003203129. The reversal of 213333003203120 is 21302300333312.

It is a happy number.

213333003203120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 213333003203120.

It is not an unprimeable number, because it can be changed into a prime (213333003203129) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 45976938026 + ... + 45976942665.

It is an arithmetic number, because the mean of its divisors is an integer number (12827566356534).

Almost surely, 2^{213333003203120} is an apocalyptic number.

213333003203120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213333003203120 is an abundant number, since it is smaller than the sum of its proper divisors (299769651058240).

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

213333003203120 is a wasteful number, since it uses less digits than its factorization.

213333003203120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91953880733 (or 91953880727 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 26.

Adding to 213333003203120 its reverse (21302300333312), we get a palindrome (234635303536432).

The spelling of 213333003203120 in words is "two hundred thirteen trillion, three hundred thirty-three billion, three million, two hundred three thousand, one hundred twenty".