223124313132 has 288 divisors, whose sum is σ = 688736490624. Its totient is φ = 59454259200.

The previous prime is 223124313127. The next prime is 223124313151. The reversal of 223124313132 is 231313421322.

223124313132 is a `hidden beast` number, since 2 + 2 + 312 + 4 + 31 + 313 + 2 = 666.

It is a super-3 number, since 3×223124313132³ (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 223124313096 and 223124313105.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 348087532 + ... + 348088172.

It is an arithmetic number, because the mean of its divisors is an integer number (2391446148).

Almost surely, 2^223124313132 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 223124313132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344368245312).

223124313132 is an abundant number, since it is smaller than the sum of its proper divisors (465612177492).

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

223124313132 is a wasteful number, since it uses less digits than its factorization.

223124313132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1289 (or 1284 counting only the distinct ones).

The product of its digits is 5184, while the sum is 27.

Adding to 223124313132 its reverse (231313421322), we get a palindrome (454437734454).

The spelling of 223124313132 in words is "two hundred twenty-three billion, one hundred twenty-four million, three hundred thirteen thousand, one hundred thirty-two".