213112120320 has 264 divisors, whose sum is σ = 805559676480. Its totient is φ = 51663421440.

The previous prime is 213112120307. The next prime is 213112120321. The reversal of 213112120320 is 23021211312.

213112120320 is a `hidden beast` number, since 2 + 131 + 1 + 212 + 0 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (264).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 213112120293 and 213112120302.

It is not an unprimeable number, because it can be changed into a prime (213112120321) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 296661 + ... + 717099.

Almost surely, 2^213112120320 is an apocalyptic number.

213112120320 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 213112120320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402779838240).

213112120320 is an abundant number, since it is smaller than the sum of its proper divisors (592447556160).

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

213112120320 is a wasteful number, since it uses less digits than its factorization.

213112120320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 420481 (or 420460 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 213112120320 its reverse (23021211312), we get a palindrome (236133331632).

The spelling of 213112120320 in words is "two hundred thirteen billion, one hundred twelve million, one hundred twenty thousand, three hundred twenty".