311313313000 has 64 divisors (see below), whose sum is σ = 728785184400. Its totient is φ = 124471987200.

The previous prime is 311313312997. The next prime is 311313313007. The reversal of 311313313000 is 313313113.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 51190872516 + 260122440484 = 226254^2 + 510022^2 .

It is not an unprimeable number, because it can be changed into a prime (311313313007) 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 15 ways as a sum of consecutive naturals, for example, 2311516 + ... + 2442484.

Almost surely, 2^311313313000 is an apocalyptic number.

It is an amenable number.

311313313000 is an abundant number, since it is smaller than the sum of its proper divisors (417471871400).

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

311313313000 is a wasteful number, since it uses less digits than its factorization.

311313313000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133367 (or 133353 counting only the distinct ones).

The product of its (nonzero) digits is 243, while the sum is 19.

Adding to 311313313000 its reverse (313313113), we get a palindrome (311626626113).

The spelling of 311313313000 in words is "three hundred eleven billion, three hundred thirteen million, three hundred thirteen thousand".