13352531100500 has 96 divisors (see below), whose sum is σ = 29300354542368. Its totient is φ = 5315708160000.

The previous prime is 13352531100479. The next prime is 13352531100509. The reversal of 13352531100500 is 500113525331.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 9113527775044 + 4239003325456 = 3018862^2 + 2058884^2 .

It is a super-2 number, since 2×13352531100500² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13352531100509) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 110840300 + ... + 110960700.

It is an arithmetic number, because the mean of its divisors is an integer number (305212026483).

Almost surely, 2^{13352531100500} is an apocalyptic number.

13352531100500 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 13352531100500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14650177271184).

13352531100500 is an abundant number, since it is smaller than the sum of its proper divisors (15947823441868).

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

13352531100500 is a wasteful number, since it uses less digits than its factorization.

13352531100500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121470 (or 121458 counting only the distinct ones).

The product of its (nonzero) digits is 6750, while the sum is 29.

Adding to 13352531100500 its reverse (500113525331), we get a palindrome (13852644625831).

The spelling of 13352531100500 in words is "thirteen trillion, three hundred fifty-two billion, five hundred thirty-one million, one hundred thousand, five hundred".