313343220420324 has 120 divisors (see below), whose sum is σ = 867333380177880. Its totient is φ = 98302901059584.

The previous prime is 313343220420317. The next prime is 313343220420331. The reversal of 313343220420324 is 423024022343313.

313343220420324 is a `hidden beast` number, since 3 + 1 + 3 + 3 + 4 + 3 + 220 + 420 + 3 + 2 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (313343220420317) and next prime (313343220420331).

It can be written as a sum of positive squares in 4 ways, for example, as 83243142517824 + 230100077902500 = 9123768^2 + 15169050^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 1003451064 + ... + 1003763280.

It is an arithmetic number, because the mean of its divisors is an integer number (7227778168149).

Almost surely, 2^{313343220420324} is an apocalyptic number.

313343220420324 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

313343220420324 is an abundant number, since it is smaller than the sum of its proper divisors (553990159757556).

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

313343220420324 is a wasteful number, since it uses less digits than its factorization.

313343220420324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 494459 (or 494448 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 36.

Adding to 313343220420324 its reverse (423024022343313), we get a palindrome (736367242763637).

The spelling of 313343220420324 in words is "three hundred thirteen trillion, three hundred forty-three billion, two hundred twenty million, four hundred twenty thousand, three hundred twenty-four".