320301310120133 has 8 divisors (see below), whose sum is σ = 328958342255352. Its totient is φ = 311644290614976.

The previous prime is 320301310120117. The next prime is 320301310120163. The reversal of 320301310120133 is 331021013103023.

It can be written as a sum of positive squares in 4 ways, for example, as 4185960505444 + 316115349614689 = 2045962^2 + 17779633^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 320301310120133 - 2⁴ = 320301310120117 is a prime.

It is a super-2 number, since 2×320301310120133² (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 320301310120099 and 320301310120108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (320301310120163) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 72278891 + ... + 76582247.

It is an arithmetic number, because the mean of its divisors is an integer number (41119792781919).

Almost surely, 2^{320301310120133} is an apocalyptic number.

It is an amenable number.

320301310120133 is a deficient number, since it is larger than the sum of its proper divisors (8657032135219).

320301310120133 is a wasteful number, since it uses less digits than its factorization.

320301310120133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6315031.

The product of its (nonzero) digits is 972, while the sum is 23.

Adding to 320301310120133 its reverse (331021013103023), we get a palindrome (651322323223156).

The spelling of 320301310120133 in words is "three hundred twenty trillion, three hundred one billion, three hundred ten million, one hundred twenty thousand, one hundred thirty-three".