13105405421011 has 16 divisors (see below), whose sum is σ = 14292407255040. Its totient is φ = 11984778923040.

The previous prime is 13105405420999. The next prime is 13105405421023. The reversal of 13105405421011 is 11012450450131.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (13105405420999) and next prime (13105405421023).

It is a cyclic number.

It is not a de Polignac number, because 13105405421011 - 2⁵ = 13105405420979 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13105405421611) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 155040291 + ... + 155124796.

It is an arithmetic number, because the mean of its divisors is an integer number (893275453440).

Almost surely, 2^{13105405421011} is an apocalyptic number.

13105405421011 is a deficient number, since it is larger than the sum of its proper divisors (1187001834029).

13105405421011 is a wasteful number, since it uses less digits than its factorization.

13105405421011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310165194.

The product of its (nonzero) digits is 2400, while the sum is 28.

Adding to 13105405421011 its reverse (11012450450131), we get a palindrome (24117855871142).

The spelling of 13105405421011 in words is "thirteen trillion, one hundred five billion, four hundred five million, four hundred twenty-one thousand, eleven".