213022312212132 has 96 divisors (see below), whose sum is σ = 555424425561600. Its totient is φ = 70603247239200.

The previous prime is 213022312212071. The next prime is 213022312212133. The reversal of 213022312212132 is 231212213220312.

213022312212132 is a `hidden beast` number, since 2 + 1 + 3 + 0 + 2 + 2 + 312 + 212 + 132 = 666.

It is a super-3 number, since 3×213022312212132³ (a number of 44 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 213022312212096 and 213022312212105.

It is not an unprimeable number, because it can be changed into a prime (213022312212133) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 182899507 + ... + 184060517.

It is an arithmetic number, because the mean of its divisors is an integer number (5785671099600).

Almost surely, 2^{213022312212132} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213022312212132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277712212780800).

213022312212132 is an abundant number, since it is smaller than the sum of its proper divisors (342402113349468).

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

213022312212132 is a wasteful number, since it uses less digits than its factorization.

213022312212132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1170694 (or 1170686 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 213022312212132 its reverse (231212213220312), we get a palindrome (444234525432444).

The spelling of 213022312212132 in words is "two hundred thirteen trillion, twenty-two billion, three hundred twelve million, two hundred twelve thousand, one hundred thirty-two".