213211320013120 has 224 divisors, whose sum is σ = 596522767994496. Its totient is φ = 71561086771200.

The previous prime is 213211320013103. The next prime is 213211320013157. The reversal of 213211320013120 is 21310023112312.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 213211320013091 and 213211320013100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 530477835 + ... + 530879605.

It is an arithmetic number, because the mean of its divisors is an integer number (2663048071404).

Almost surely, 2^{213211320013120} is an apocalyptic number.

213211320013120 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 213211320013120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298261383997248).

213211320013120 is an abundant number, since it is smaller than the sum of its proper divisors (383311447981376).

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

213211320013120 is a wasteful number, since it uses less digits than its factorization.

213211320013120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413409 (or 413399 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 213211320013120 its reverse (21310023112312), we get a palindrome (234521343125432).

The spelling of 213211320013120 in words is "two hundred thirteen trillion, two hundred eleven billion, three hundred twenty million, thirteen thousand, one hundred twenty".