313322132033 has 16 divisors (see below), whose sum is σ = 332679194064. Its totient is φ = 294069135360.

The previous prime is 313322132029. The next prime is 313322132087. The reversal of 313322132033 is 330231223313.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 38812152064 + 274509979969 = 197008^2 + 523937^2 .

It is a cyclic number.

It is not a de Polignac number, because 313322132033 - 2² = 313322132029 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 313322131993 and 313322132011.

It is not an unprimeable number, because it can be changed into a prime (313322132093) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9181823 + ... + 9215883.

It is an arithmetic number, because the mean of its divisors is an integer number (20792449629).

Almost surely, 2^313322132033 is an apocalyptic number.

It is an amenable number.

313322132033 is a deficient number, since it is larger than the sum of its proper divisors (19357062031).

313322132033 is a wasteful number, since it uses less digits than its factorization.

313322132033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35572.

The product of its (nonzero) digits is 5832, while the sum is 26.

Adding to 313322132033 its reverse (330231223313), we get a palindrome (643553355346).

The spelling of 313322132033 in words is "three hundred thirteen billion, three hundred twenty-two million, one hundred thirty-two thousand, thirty-three".