13105200153042 has 20 divisors (see below), whose sum is σ = 29365355898846. Its totient is φ = 4368400050960.

The previous prime is 13105200152959. The next prime is 13105200153077. The reversal of 13105200153042 is 24035100250131.

13105200153042 is a `hidden beast` number, since 1 + 3 + 105 + 20 + 0 + 1 + 530 + 4 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 12723339186441 + 381860966601 = 3566979^2 + 617949^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 13105200152997 and 13105200153015.

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 9 ways as a sum of consecutive naturals, for example, 40448148459 + ... + 40448148782.

Almost surely, 2^{13105200153042} is an apocalyptic number.

13105200153042 is an abundant number, since it is smaller than the sum of its proper divisors (16260155745804).

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

13105200153042 is an equidigital number, since it uses as much as digits as its factorization.

13105200153042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80896297255 (or 80896297246 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The spelling of 13105200153042 in words is "thirteen trillion, one hundred five billion, two hundred million, one hundred fifty-three thousand, forty-two".