13125521441300 has 72 divisors (see below), whose sum is σ = 29178838294200. Its totient is φ = 5121844940800.

The previous prime is 13125521441281. The next prime is 13125521441303. The reversal of 13125521441300 is 314412552131.

It can be written as a sum of positive squares in 12 ways, for example, as 3995249411344 + 9130272029956 = 1998812^2 + 3021634^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13125521441303) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 74766026 + ... + 74941374.

It is an arithmetic number, because the mean of its divisors is an integer number (405261642975).

Almost surely, 2^{13125521441300} is an apocalyptic number.

13125521441300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13125521441300 is an abundant number, since it is smaller than the sum of its proper divisors (16053316852900).

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

13125521441300 is a wasteful number, since it uses less digits than its factorization.

13125521441300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193661 (or 193654 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 32.

Adding to 13125521441300 its reverse (314412552131), we get a palindrome (13439933993431).

The spelling of 13125521441300 in words is "thirteen trillion, one hundred twenty-five billion, five hundred twenty-one million, four hundred forty-one thousand, three hundred".