133575645742513 has 8 divisors (see below), whose sum is σ = 144900700492968. Its totient is φ = 122400591717504.

The previous prime is 133575645742457. The next prime is 133575645742523. The reversal of 133575645742513 is 315247546575331.

It can be written as a sum of positive squares in 4 ways, for example, as 16699049083809 + 116876596658704 = 4086447^2 + 10810948^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-133575645742513 is a prime.

It is not an unprimeable number, because it can be changed into a prime (133575645742523) 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 7 ways as a sum of consecutive naturals, for example, 37500179506 + ... + 37500183067.

It is an arithmetic number, because the mean of its divisors is an integer number (18112587561621).

Almost surely, 2^{133575645742513} is an apocalyptic number.

133575645742513 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

133575645742513 is a deficient number, since it is larger than the sum of its proper divisors (11325054750455).

133575645742513 is a wasteful number, since it uses less digits than its factorization.

133575645742513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75000362723.

The product of its digits is 158760000, while the sum is 61.

The spelling of 133575645742513 in words is "one hundred thirty-three trillion, five hundred seventy-five billion, six hundred forty-five million, seven hundred forty-two thousand, five hundred thirteen".