13233021312 has 128 divisors (see below), whose sum is σ = 40252757760. Its totient is φ = 3773233152.

The previous prime is 13233021311. The next prime is 13233021317. The reversal of 13233021312 is 21312033231.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×13233021312² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13233021311) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1401118 + ... + 1410530.

It is an arithmetic number, because the mean of its divisors is an integer number (314474670).

Almost surely, 2^13233021312 is an apocalyptic number.

13233021312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13233021312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20126378880).

13233021312 is an abundant number, since it is smaller than the sum of its proper divisors (27019736448).

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

13233021312 is an equidigital number, since it uses as much as digits as its factorization.

13233021312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9960 (or 9948 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 13233021312 its reverse (21312033231), we get a palindrome (34545054543).

The spelling of 13233021312 in words is "thirteen billion, two hundred thirty-three million, twenty-one thousand, three hundred twelve".