13353010540105 has 16 divisors (see below), whose sum is σ = 16423904592144. Its totient is φ = 10415847838720.

The previous prime is 13353010540043. The next prime is 13353010540123. The reversal of 13353010540105 is 50104501035331.

It can be written as a sum of positive squares in 8 ways, for example, as 6158234333241 + 7194776206864 = 2481579^2 + 2682308^2 .

It is not a de Polignac number, because 13353010540105 - 2⁹ = 13353010539593 is a prime.

It is a super-2 number, since 2×13353010540105² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18437764 + ... + 19148293.

It is an arithmetic number, because the mean of its divisors is an integer number (1026494037009).

Almost surely, 2^{13353010540105} is an apocalyptic number.

It is an amenable number.

13353010540105 is a deficient number, since it is larger than the sum of its proper divisors (3070894052039).

13353010540105 is a wasteful number, since it uses less digits than its factorization.

13353010540105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37587836.

The product of its (nonzero) digits is 13500, while the sum is 31.

Adding to 13353010540105 its reverse (50104501035331), we get a palindrome (63457511575436).

The spelling of 13353010540105 in words is "thirteen trillion, three hundred fifty-three billion, ten million, five hundred forty thousand, one hundred five".