313203320010000 has 450 divisors, whose sum is σ = 1274144574707862. Its totient is φ = 71589329280000.

The previous prime is 313203320009971. The next prime is 313203320010043. The reversal of 313203320010000 is 10023302313.

313203320010000 is a `hidden beast` number, since 3 + 1 + 320 + 332 + 0 + 0 + 10 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 5 ways, for example, as 157315409991936 + 155887910018064 = 12542544^2 + 12485508^2 .

It is a tau number, because it is divible by the number of its divisors (450).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 31100581 + ... + 39920580.

Almost surely, 2^{313203320010000} is an apocalyptic number.

313203320010000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

313203320010000 is an abundant number, since it is smaller than the sum of its proper divisors (960941254697862).

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

313203320010000 is a wasteful number, since it uses less digits than its factorization.

313203320010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71021209 (or 71021178 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 313203320010000 its reverse (10023302313), we get a palindrome (313213343312313).

The spelling of 313203320010000 in words is "three hundred thirteen trillion, two hundred three billion, three hundred twenty million, ten thousand".