13203122133312 has 224 divisors, whose sum is σ = 41249631536640. Its totient is φ = 4126868766720.

The previous prime is 13203122133293. The next prime is 13203122133367. The reversal of 13203122133312 is 21333122130231.

13203122133312 is a `hidden beast` number, since 1 + 3 + 2 + 0 + 312 + 2 + 1 + 33 + 312 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7131648 + ... + 8790144.

Almost surely, 2^{13203122133312} is an apocalyptic number.

13203122133312 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 13203122133312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20624815768320).

13203122133312 is an abundant number, since it is smaller than the sum of its proper divisors (28046509403328).

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

13203122133312 is a wasteful number, since it uses less digits than its factorization.

13203122133312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1658806 (or 1658790 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 13203122133312 its reverse (21333122130231), we get a palindrome (34536244263543).

The spelling of 13203122133312 in words is "thirteen trillion, two hundred three billion, one hundred twenty-two million, one hundred thirty-three thousand, three hundred twelve".