2222133100341 has 192 divisors, whose sum is σ = 3939929828352. Its totient is φ = 1100615040000.

The previous prime is 2222133100331. The next prime is 2222133100387. The reversal of 2222133100341 is 1430013312222.

It is not a de Polignac number, because 2222133100341 - 2¹⁷ = 2222132969269 is a prime.

It is a super-3 number, since 3×2222133100341³ (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2222133100301) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 659189386 + ... + 659192756.

It is an arithmetic number, because the mean of its divisors is an integer number (20520467856).

Almost surely, 2^{2222133100341} is an apocalyptic number.

2222133100341 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2222133100341 is a deficient number, since it is larger than the sum of its proper divisors (1717796728011).

2222133100341 is a wasteful number, since it uses less digits than its factorization.

2222133100341 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3664 (or 3657 counting only the distinct ones).

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

Adding to 2222133100341 its reverse (1430013312222), we get a palindrome (3652146412563).

The spelling of 2222133100341 in words is "two trillion, two hundred twenty-two billion, one hundred thirty-three million, one hundred thousand, three hundred forty-one".