12133212311310 has 96 divisors (see below), whose sum is σ = 29887061570208. Its totient is φ = 3152391782400.

The previous prime is 12133212311299. The next prime is 12133212311323. The reversal of 12133212311310 is 1311321233121.

It is a super-2 number, since 2×12133212311310² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21970734 + ... + 22516206.

It is an arithmetic number, because the mean of its divisors is an integer number (311323558023).

Almost surely, 2^{12133212311310} is an apocalyptic number.

12133212311310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12133212311310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14943530785104).

12133212311310 is an abundant number, since it is smaller than the sum of its proper divisors (17753849258898).

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

12133212311310 is a wasteful number, since it uses less digits than its factorization.

12133212311310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 545970 (or 545927 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

Adding to 12133212311310 its reverse (1311321233121), we get a palindrome (13444533544431).

The spelling of 12133212311310 in words is "twelve trillion, one hundred thirty-three billion, two hundred twelve million, three hundred eleven thousand, three hundred ten".