13329785192100 has 288 divisors, whose sum is σ = 43997463732096. Its totient is φ = 3086760960000.

The previous prime is 13329785192093. The next prime is 13329785192153. The reversal of 13329785192100 is 129158792331.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (51).

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 95 ways as a sum of consecutive naturals, for example, 149196642 + ... + 149285958.

It is an arithmetic number, because the mean of its divisors is an integer number (152768971292).

Almost surely, 2^{13329785192100} is an apocalyptic number.

13329785192100 is a gapful number since it is divisible by the number (10) 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 13329785192100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21998731866048).

13329785192100 is an abundant number, since it is smaller than the sum of its proper divisors (30667678539996).

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

13329785192100 is a wasteful number, since it uses less digits than its factorization.

13329785192100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91615 (or 91608 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 51.

It can be divided in two parts, 1332978 and 5192100, that added together give a triangular number (6525078 = T₃₆₁₂).

The spelling of 13329785192100 in words is "thirteen trillion, three hundred twenty-nine billion, seven hundred eighty-five million, one hundred ninety-two thousand, one hundred".