133413381113667 has 32 divisors (see below), whose sum is σ = 180127592225280. Its totient is φ = 87829801570560.

The previous prime is 133413381113659. The next prime is 133413381113729. The reversal of 133413381113667 is 766311183314331.

It is not a de Polignac number, because 133413381113667 - 2³ = 133413381113659 is a prime.

It is not an unprimeable number, because it can be changed into a prime (133413381113657) 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 31 ways as a sum of consecutive naturals, for example, 42704058 + ... + 45721584.

It is an arithmetic number, because the mean of its divisors is an integer number (5628987257040).

Almost surely, 2^{133413381113667} is an apocalyptic number.

133413381113667 is a deficient number, since it is larger than the sum of its proper divisors (46714211111613).

133413381113667 is a wasteful number, since it uses less digits than its factorization.

133413381113667 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3018283.

The product of its digits is 1959552, while the sum is 51.

The spelling of 133413381113667 in words is "one hundred thirty-three trillion, four hundred thirteen billion, three hundred eighty-one million, one hundred thirteen thousand, six hundred sixty-seven".