13405350101 has 8 divisors (see below), whose sum is σ = 15748942944. Its totient is φ = 11249244720.

The previous prime is 13405350097. The next prime is 13405350149. The reversal of 13405350101 is 10105350431.

13405350101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 13405350101 - 2² = 13405350097 is a prime.

It is a super-2 number, since 2×13405350101² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13405350001) 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 7 ways as a sum of consecutive naturals, for example, 46871711 + ... + 46871996.

It is an arithmetic number, because the mean of its divisors is an integer number (1968617868).

Almost surely, 2^13405350101 is an apocalyptic number.

13405350101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

13405350101 is a deficient number, since it is larger than the sum of its proper divisors (2343592843).

13405350101 is a wasteful number, since it uses less digits than its factorization.

13405350101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93743731.

The product of its (nonzero) digits is 900, while the sum is 23.

The spelling of 13405350101 in words is "thirteen billion, four hundred five million, three hundred fifty thousand, one hundred one".