13330011321312 has 192 divisors, whose sum is σ = 40411253030400. Its totient is φ = 3768505804800.

The previous prime is 13330011321271. The next prime is 13330011321371. The reversal of 13330011321312 is 21312311003331.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 109824114 + ... + 109945422.

It is an arithmetic number, because the mean of its divisors is an integer number (210475276200).

Almost surely, 2^{13330011321312} is an apocalyptic number.

13330011321312 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 13330011321312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20205626515200).

13330011321312 is an abundant number, since it is smaller than the sum of its proper divisors (27081241709088).

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

13330011321312 is a wasteful number, since it uses less digits than its factorization.

13330011321312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123049 (or 123041 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 24.

Adding to 13330011321312 its reverse (21312311003331), we get a palindrome (34642322324643).

The spelling of 13330011321312 in words is "thirteen trillion, three hundred thirty billion, eleven million, three hundred twenty-one thousand, three hundred twelve".