313241120424400 has 120 divisors (see below), whose sum is σ = 861149760387840. Its totient is φ = 107262203297280.

The previous prime is 313241120424389. The next prime is 313241120424469. The reversal of 313241120424400 is 4424021142313.

It is a happy number.

It is a super-2 number, since 2×313241120424400² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 67951480 + ... + 72414679.

It is an arithmetic number, because the mean of its divisors is an integer number (7176248003232).

Almost surely, 2^{313241120424400} is an apocalyptic number.

It is an amenable number.

313241120424400 is an abundant number, since it is smaller than the sum of its proper divisors (547908639963440).

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

313241120424400 is a wasteful number, since it uses less digits than its factorization.

313241120424400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140366981 (or 140366970 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 31.

Adding to 313241120424400 its reverse (4424021142313), we get a palindrome (317665141566713).

The spelling of 313241120424400 in words is "three hundred thirteen trillion, two hundred forty-one billion, one hundred twenty million, four hundred twenty-four thousand, four hundred".