13405352400101 has 16 divisors (see below), whose sum is σ = 13490244493440. Its totient is φ = 13320699341760.

The previous prime is 13405352400049. The next prime is 13405352400103. The reversal of 13405352400101 is 10100425350431.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-13405352400101 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13405352400103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 994676975 + ... + 994690451.

It is an arithmetic number, because the mean of its divisors is an integer number (843140280840).

Almost surely, 2^{13405352400101} is an apocalyptic number.

It is an amenable number.

13405352400101 is a deficient number, since it is larger than the sum of its proper divisors (84892093339).

13405352400101 is a wasteful number, since it uses less digits than its factorization.

13405352400101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21884.

The product of its (nonzero) digits is 7200, while the sum is 29.

Adding to 13405352400101 its reverse (10100425350431), we get a palindrome (23505777750532).

The spelling of 13405352400101 in words is "thirteen trillion, four hundred five billion, three hundred fifty-two million, four hundred thousand, one hundred one".