413133201222 has 128 divisors (see below), whose sum is σ = 982334158848. Its totient is φ = 113378227200.

The previous prime is 413133201211. The next prime is 413133201241. The reversal of 413133201222 is 222102331314.

It is a super-3 number, since 3×413133201222³ (a number of 36 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 413133201192 and 413133201201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 107221848 + ... + 107225700.

It is an arithmetic number, because the mean of its divisors is an integer number (7674485616).

Almost surely, 2^413133201222 is an apocalyptic number.

413133201222 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 413133201222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491167079424).

413133201222 is an abundant number, since it is smaller than the sum of its proper divisors (569200957626).

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

413133201222 is a wasteful number, since it uses less digits than its factorization.

413133201222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4854.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 413133201222 its reverse (222102331314), we get a palindrome (635235532536).

The spelling of 413133201222 in words is "four hundred thirteen billion, one hundred thirty-three million, two hundred one thousand, two hundred twenty-two".