2233133332313 has 8 divisors (see below), whose sum is σ = 2428723838856. Its totient is φ = 2040944400000.

The previous prime is 2233133332307. The next prime is 2233133332337. The reversal of 2233133332313 is 3132333313322.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 163528845769 + 2069604486544 = 404387^2 + 1438612^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2233133332313 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2233133332313.

It is not an unprimeable number, because it can be changed into a prime (2233133332303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 850392188 + ... + 850394813.

It is an arithmetic number, because the mean of its divisors is an integer number (303590479857).

Almost surely, 2^{2233133332313} is an apocalyptic number.

It is an amenable number.

2233133332313 is a deficient number, since it is larger than the sum of its proper divisors (195590506543).

2233133332313 is a wasteful number, since it uses less digits than its factorization.

2233133332313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1700787115.

The product of its digits is 52488, while the sum is 32.

Adding to 2233133332313 its reverse (3132333313322), we get a palindrome (5365466645635).

The spelling of 2233133332313 in words is "two trillion, two hundred thirty-three billion, one hundred thirty-three million, three hundred thirty-two thousand, three hundred thirteen".