13105332133500 has 96 divisors (see below), whose sum is σ = 38163544473600. Its totient is φ = 3494680392000.

The previous prime is 13105332133469. The next prime is 13105332133507. The reversal of 13105332133500 is 533123350131.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13105332133507) 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, 134349745 + ... + 134447255.

It is an arithmetic number, because the mean of its divisors is an integer number (397536921600).

Almost surely, 2^{13105332133500} is an apocalyptic number.

13105332133500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13105332133500 is an abundant number, since it is smaller than the sum of its proper divisors (25058212340100).

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

13105332133500 is a wasteful number, since it uses less digits than its factorization.

13105332133500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187132 (or 187120 counting only the distinct ones).

The product of its (nonzero) digits is 12150, while the sum is 30.

Adding to 13105332133500 its reverse (533123350131), we get a palindrome (13638455483631).

The spelling of 13105332133500 in words is "thirteen trillion, one hundred five billion, three hundred thirty-two million, one hundred thirty-three thousand, five hundred".