313320131340000 has 240 divisors, whose sum is σ = 1063192448823120. Its totient is φ = 80670929920000.

The previous prime is 313320131339989. The next prime is 313320131340023. The reversal of 313320131340000 is 43131023313.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 88294521 + ... + 91774520.

It is an arithmetic number, because the mean of its divisors is an integer number (4429968536763).

Almost surely, 2^{313320131340000} is an apocalyptic number.

313320131340000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

313320131340000 is an abundant number, since it is smaller than the sum of its proper divisors (749872317483120).

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

313320131340000 is a wasteful number, since it uses less digits than its factorization.

313320131340000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180069103 (or 180069080 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 313320131340000 its reverse (43131023313), we get a palindrome (313363262363313).

The spelling of 313320131340000 in words is "three hundred thirteen trillion, three hundred twenty billion, one hundred thirty-one million, three hundred forty thousand".