13771132300 has 72 divisors (see below), whose sum is σ = 30148070400. Its totient is φ = 5459872320.

The previous prime is 13771132259. The next prime is 13771132301. The reversal of 13771132300 is 323117731.

13771132300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (13771132301) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 6425029 + ... + 6427171.

It is an arithmetic number, because the mean of its divisors is an integer number (418723200).

Almost surely, 2^13771132300 is an apocalyptic number.

13771132300 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 13771132300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15074035200).

13771132300 is an abundant number, since it is smaller than the sum of its proper divisors (16376938100).

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

13771132300 is a wasteful number, since it uses less digits than its factorization.

13771132300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2695 (or 2688 counting only the distinct ones).

The product of its (nonzero) digits is 2646, while the sum is 28.

The spelling of 13771132300 in words is "thirteen billion, seven hundred seventy-one million, one hundred thirty-two thousand, three hundred".