133002031317 has 64 divisors (see below), whose sum is σ = 197982683136. Its totient is φ = 79035540480.

The previous prime is 133002031307. The next prime is 133002031319. The reversal of 133002031317 is 713130200331.

It is not a de Polignac number, because 133002031317 - 2⁴ = 133002031301 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133002031319) 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 63 ways as a sum of consecutive naturals, for example, 37118508 + ... + 37122090.

It is an arithmetic number, because the mean of its divisors is an integer number (3093479424).

Almost surely, 2^133002031317 is an apocalyptic number.

133002031317 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

133002031317 is a deficient number, since it is larger than the sum of its proper divisors (64980651819).

133002031317 is a wasteful number, since it uses less digits than its factorization.

133002031317 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4130.

The product of its (nonzero) digits is 1134, while the sum is 24.

Adding to 133002031317 its reverse (713130200331), we get a palindrome (846132231648).

The spelling of 133002031317 in words is "one hundred thirty-three billion, two million, thirty-one thousand, three hundred seventeen".