13133006621352 has 384 divisors, whose sum is σ = 41044507920000. Its totient is φ = 3765538603008.

The previous prime is 13133006621279. The next prime is 13133006621353. The reversal of 13133006621352 is 25312660033131.

13133006621352 is a `hidden beast` number, since 1 + 3 + 1 + 330 + 0 + 66 + 213 + 52 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (13133006621353) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 869324983 + ... + 869340089.

It is an arithmetic number, because the mean of its divisors is an integer number (106886739375).

Almost surely, 2^{13133006621352} is an apocalyptic number.

13133006621352 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 13133006621352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20522253960000).

13133006621352 is an abundant number, since it is smaller than the sum of its proper divisors (27911501298648).

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

13133006621352 is a wasteful number, since it uses less digits than its factorization.

13133006621352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16473 (or 16466 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

Adding to 13133006621352 its reverse (25312660033131), we get a palindrome (38445666654483).

The spelling of 13133006621352 in words is "thirteen trillion, one hundred thirty-three billion, six million, six hundred twenty-one thousand, three hundred fifty-two".