13105435022192 has 60 divisors (see below), whose sum is σ = 26551433740104. Its totient is φ = 6266007200640.

The previous prime is 13105435022191. The next prime is 13105435022203. The reversal of 13105435022192 is 29122053450131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13105435022191) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 29326058 + ... + 29769590.

Almost surely, 2^{13105435022192} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13105435022192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13275716870052).

13105435022192 is an abundant number, since it is smaller than the sum of its proper divisors (13445998717912).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13105435022192 is a wasteful number, since it uses less digits than its factorization.

13105435022192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 447078 (or 447049 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 38.

The spelling of 13105435022192 in words is "thirteen trillion, one hundred five billion, four hundred thirty-five million, twenty-two thousand, one hundred ninety-two".