134133011111313 has 8 divisors (see below), whose sum is σ = 198715572016800. Its totient is φ = 89422007407524.

The previous prime is 134133011111279. The next prime is 134133011111377. The reversal of 134133011111313 is 313111110331431.

134133011111313 is a `hidden beast` number, since 1 + 3 + 4 + 1 + 330 + 1 + 1 + 1 + 11 + 313 = 666.

It is not a de Polignac number, because 134133011111313 - 2⁶ = 134133011111249 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 4967889300419 = 134133011111313 / (1 + 3 + 4 + 1 + 3 + 3 + 0 + 1 + 1 + 1 + 1 + 1 + 3 + 1 + 3).

It is not an unprimeable number, because it can be changed into a prime (134133011111713) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2483944650183 + ... + 2483944650236.

It is an arithmetic number, because the mean of its divisors is an integer number (24839446502100).

Almost surely, 2^{134133011111313} is an apocalyptic number.

It is an amenable number.

134133011111313 is a deficient number, since it is larger than the sum of its proper divisors (64582560905487).

134133011111313 is an equidigital number, since it uses as much as digits as its factorization.

134133011111313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4967889300428 (or 4967889300422 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

Adding to 134133011111313 its reverse (313111110331431), we get a palindrome (447244121442744).

The spelling of 134133011111313 in words is "one hundred thirty-four trillion, one hundred thirty-three billion, eleven million, one hundred eleven thousand, three hundred thirteen".