13531200105 has 16 divisors (see below), whose sum is σ = 21651404544. Its totient is φ = 7216145280.

The previous prime is 13531200101. The next prime is 13531200143. The reversal of 13531200105 is 50100213531.

13531200105 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13531200105 - 2² = 13531200101 is a prime.

It is a super-3 number, since 3×13531200105³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (13531200101) 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 15 ways as a sum of consecutive naturals, for example, 334272 + ... + 372558.

It is an arithmetic number, because the mean of its divisors is an integer number (1353212784).

Almost surely, 2^13531200105 is an apocalyptic number.

13531200105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13531200105 is a deficient number, since it is larger than the sum of its proper divisors (8120204439).

13531200105 is a wasteful number, since it uses less digits than its factorization.

13531200105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61856.

The product of its (nonzero) digits is 450, while the sum is 21.

Adding to 13531200105 its reverse (50100213531), we get a palindrome (63631413636).

The spelling of 13531200105 in words is "thirteen billion, five hundred thirty-one million, two hundred thousand, one hundred five".