13734443400100 has 36 divisors (see below), whose sum is σ = 31556903486724. Its totient is φ = 5170613985280.

The previous prime is 13734443400089. The next prime is 13734443400169. The reversal of 13734443400100 is 100434443731.

It can be written as a sum of positive squares in 6 ways, for example, as 172650222144 + 13561793177956 = 415512^2 + 3682634^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4039540477 + ... + 4039543876.

It is an arithmetic number, because the mean of its divisors is an integer number (876580652409).

Almost surely, 2^{13734443400100} is an apocalyptic number.

13734443400100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13734443400100 is an abundant number, since it is smaller than the sum of its proper divisors (17822460086624).

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

13734443400100 is a wasteful number, since it uses less digits than its factorization.

13734443400100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8079084384 (or 8079084377 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 34.

Adding to 13734443400100 its reverse (100434443731), we get a palindrome (13834877843831).

The spelling of 13734443400100 in words is "thirteen trillion, seven hundred thirty-four billion, four hundred forty-three million, four hundred thousand, one hundred".