313034121002133 has 12 divisors (see below), whose sum is σ = 452598961902048. Its totient is φ = 208486999432680.

The previous prime is 313034121002129. The next prime is 313034121002137. The reversal of 313034121002133 is 331200121430313.

313034121002133 is a `hidden beast` number, since 3 + 1 + 3 + 0 + 341 + 2 + 100 + 213 + 3 = 666.

It is an interprime number because it is at equal distance from previous prime (313034121002129) and next prime (313034121002137).

It is not a de Polignac number, because 313034121002133 - 2² = 313034121002129 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 313034121002097 and 313034121002106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313034121002137) 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 11 ways as a sum of consecutive naturals, for example, 16867870935 + ... + 16867889492.

It is an arithmetic number, because the mean of its divisors is an integer number (37716580158504).

Almost surely, 2^{313034121002133} is an apocalyptic number.

It is an amenable number.

313034121002133 is a deficient number, since it is larger than the sum of its proper divisors (139564840899915).

313034121002133 is a wasteful number, since it uses less digits than its factorization.

313034121002133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33735761464 (or 33735761461 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 313034121002133 its reverse (331200121430313), we get a palindrome (644234242432446).

The spelling of 313034121002133 in words is "three hundred thirteen trillion, thirty-four billion, one hundred twenty-one million, two thousand, one hundred thirty-three".