213012332033220 has 384 divisors, whose sum is σ = 675663931514880. Its totient is φ = 55702452833280.

The previous prime is 213012332033143. The next prime is 213012332033233. The reversal of 213012332033220 is 22330233210312.

213012332033220 is a `hidden beast` number, since 2 + 1 + 3 + 0 + 1 + 2 + 3 + 320 + 332 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4788601099 + ... + 4788645581.

It is an arithmetic number, because the mean of its divisors is an integer number (1759541488320).

Almost surely, 2^{213012332033220} is an apocalyptic number.

213012332033220 is a gapful number since it is divisible by the number (20) 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 213012332033220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337831965757440).

213012332033220 is an abundant number, since it is smaller than the sum of its proper divisors (462651599481660).

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

213012332033220 is a wasteful number, since it uses less digits than its factorization.

213012332033220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45272 (or 45264 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 213012332033220 its reverse (22330233210312), we get a palindrome (235342565243532).

The spelling of 213012332033220 in words is "two hundred thirteen trillion, twelve billion, three hundred thirty-two million, thirty-three thousand, two hundred twenty".