313321032133 has 48 divisors (see below), whose sum is σ = 361993453056. Its totient is φ = 269618173440.

The previous prime is 313321032119. The next prime is 313321032163. The reversal of 313321032133 is 331230123313.

It is not a de Polignac number, because 313321032133 - 2¹³ = 313321023941 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 313321032098 and 313321032107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313321032163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33974463 + ... + 33983683.

It is an arithmetic number, because the mean of its divisors is an integer number (7541530272).

Almost surely, 2^313321032133 is an apocalyptic number.

It is an amenable number.

313321032133 is a deficient number, since it is larger than the sum of its proper divisors (48672420923).

313321032133 is a wasteful number, since it uses less digits than its factorization.

313321032133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9394 (or 9351 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 25.

Adding to 313321032133 its reverse (331230123313), we get a palindrome (644551155446).

The spelling of 313321032133 in words is "three hundred thirteen billion, three hundred twenty-one million, thirty-two thousand, one hundred thirty-three".