223010133120 has 640 divisors, whose sum is σ = 812131246080. Its totient is φ = 58309632000.

The previous prime is 223010133079. The next prime is 223010133121. The reversal of 223010133120 is 21331010322.

223010133120 is a `hidden beast` number, since 2 + 230 + 101 + 331 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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 = 223010133093 and 223010133102.

It is not an unprimeable number, because it can be changed into a prime (223010133121) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1000045329 + ... + 1000045551.

It is an arithmetic number, because the mean of its divisors is an integer number (1268955072).

Almost surely, 2^223010133120 is an apocalyptic number.

223010133120 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 223010133120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406065623040).

223010133120 is an abundant number, since it is smaller than the sum of its proper divisors (589121112960).

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

223010133120 is a wasteful number, since it uses less digits than its factorization.

223010133120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 546 (or 525 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 223010133120 its reverse (21331010322), we get a palindrome (244341143442).

The spelling of 223010133120 in words is "two hundred twenty-three billion, ten million, one hundred thirty-three thousand, one hundred twenty".