12302312311133 has 8 divisors (see below), whose sum is σ = 13248730018776. Its totient is φ = 11355906888000.

The previous prime is 12302312311043. The next prime is 12302312311169. The reversal of 12302312311133 is 33111321320321.

12302312311133 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 768124286329 + 11534188024804 = 876427^2 + 3396202^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 12302312311133 - 2⁴² = 7904265800029 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12302312311033) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 936218 + ... + 5047883.

It is an arithmetic number, because the mean of its divisors is an integer number (1656091252347).

Almost surely, 2^{12302312311133} is an apocalyptic number.

12302312311133 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

12302312311133 is a deficient number, since it is larger than the sum of its proper divisors (946417707643).

12302312311133 is a wasteful number, since it uses less digits than its factorization.

12302312311133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6142255.

The product of its (nonzero) digits is 1944, while the sum is 26.

Adding to 12302312311133 its reverse (33111321320321), we get a palindrome (45413633631454).

The spelling of 12302312311133 in words is "twelve trillion, three hundred two billion, three hundred twelve million, three hundred eleven thousand, one hundred thirty-three".