223201201331010 has 256 divisors, whose sum is σ = 645128032813056. Its totient is φ = 48318069811968.

The previous prime is 223201201330999. The next prime is 223201201331107. The reversal of 223201201331010 is 10133102102322.

It is a super-3 number, since 3×223201201331010³ (a number of 44 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3623188869 + ... + 3623250471.

It is an arithmetic number, because the mean of its divisors is an integer number (2520031378176).

Almost surely, 2^{223201201331010} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 223201201331010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322564016406528).

223201201331010 is an abundant number, since it is smaller than the sum of its proper divisors (421926831482046).

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

223201201331010 is a wasteful number, since it uses less digits than its factorization.

223201201331010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69029.

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 223201201331010 its reverse (10133102102322), we get a palindrome (233334303433332).

The spelling of 223201201331010 in words is "two hundred twenty-three trillion, two hundred one billion, two hundred one million, three hundred thirty-one thousand, ten".