313223121000133 has 16 divisors (see below), whose sum is σ = 319546371465216. Its totient is φ = 306953083871280.

The previous prime is 313223121000131. The next prime is 313223121000151. The reversal of 313223121000133 is 331000121322313.

It is a cyclic number.

It is not a de Polignac number, because 313223121000133 - 2¹ = 313223121000131 is a prime.

It is a super-3 number, since 3×313223121000133³ (a number of 44 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 313223121000098 and 313223121000107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313223121000131) 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 15 ways as a sum of consecutive naturals, for example, 409906060 + ... + 410669482.

It is an arithmetic number, because the mean of its divisors is an integer number (19971648216576).

Almost surely, 2^{313223121000133} is an apocalyptic number.

It is an amenable number.

313223121000133 is a deficient number, since it is larger than the sum of its proper divisors (6323250465083).

313223121000133 is a wasteful number, since it uses less digits than its factorization.

313223121000133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 798264.

The product of its (nonzero) digits is 1944, while the sum is 25.

Adding to 313223121000133 its reverse (331000121322313), we get a palindrome (644223242322446).

The spelling of 313223121000133 in words is "three hundred thirteen trillion, two hundred twenty-three billion, one hundred twenty-one million, one hundred thirty-three", and thus it is an aban number.