223113313020132 has 576 divisors, whose sum is σ = 647820296847360. Its totient is φ = 64319812300800.

The previous prime is 223113313020127. The next prime is 223113313020211. The reversal of 223113313020132 is 231020313311322.

223113313020132 is a `hidden beast` number, since 2 + 2 + 3 + 11 + 331 + 302 + 0 + 13 + 2 = 666.

It is a super-3 number, since 3×223113313020132³ (a number of 44 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 223113313020096 and 223113313020105.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 15043705957 + ... + 15043720787.

It is an arithmetic number, because the mean of its divisors is an integer number (1124688015360).

Almost surely, 2^{223113313020132} 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 223113313020132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323910148423680).

223113313020132 is an abundant number, since it is smaller than the sum of its proper divisors (424706983827228).

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

223113313020132 is a wasteful number, since it uses less digits than its factorization.

223113313020132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15232 (or 15227 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 223113313020132 its reverse (231020313311322), we get a palindrome (454133626331454).

The spelling of 223113313020132 in words is "two hundred twenty-three trillion, one hundred thirteen billion, three hundred thirteen million, twenty thousand, one hundred thirty-two".