313323121321000 has 128 divisors (see below), whose sum is σ = 842596643116800. Its totient is φ = 106824929683200.

The previous prime is 313323121320983. The next prime is 313323121321009. The reversal of 313323121321000 is 123121323313.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (313323121321009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 123776179 + ... + 126282178.

It is an arithmetic number, because the mean of its divisors is an integer number (6582786274350).

Almost surely, 2^{313323121321000} is an apocalyptic number.

It is an amenable number.

313323121321000 is an abundant number, since it is smaller than the sum of its proper divisors (529273521795800).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

313323121321000 is a wasteful number, since it uses less digits than its factorization.

313323121321000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250058564 (or 250058550 counting only the distinct ones).

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

Adding to 313323121321000 its reverse (123121323313), we get a palindrome (313446242644313).

The spelling of 313323121321000 in words is "three hundred thirteen trillion, three hundred twenty-three billion, one hundred twenty-one million, three hundred twenty-one thousand".