313301020132320 has 192 divisors, whose sum is σ = 1077927595153920. Its totient is φ = 75859250124800.

The previous prime is 313301020132301. The next prime is 313301020132333. The reversal of 313301020132320 is 23231020103313.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31802340 + ... + 40472099.

It is an arithmetic number, because the mean of its divisors is an integer number (5614206224760).

Almost surely, 2^{313301020132320} is an apocalyptic number.

313301020132320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

313301020132320 is an abundant number, since it is smaller than the sum of its proper divisors (764626575021600).

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

313301020132320 is a wasteful number, since it uses less digits than its factorization.

313301020132320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72275289 (or 72275281 counting only the distinct ones).

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

Adding to 313301020132320 its reverse (23231020103313), we get a palindrome (336532040235633).

The spelling of 313301020132320 in words is "three hundred thirteen trillion, three hundred one billion, twenty million, one hundred thirty-two thousand, three hundred twenty".