313140455541324 has 144 divisors (see below), whose sum is σ = 809496150503040. Its totient is φ = 102040777762560.

The previous prime is 313140455541241. The next prime is 313140455541337. The reversal of 313140455541324 is 423145554041313.

313140455541324 is a `hidden beast` number, since 3 + 1 + 3 + 1 + 40 + 45 + 5 + 541 + 3 + 24 = 666.

It is a super-4 number, since 4×313140455541324⁴ (a number of 59 digits) contains 4444 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 313140455541324.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 284159707 + ... + 285259565.

It is an arithmetic number, because the mean of its divisors is an integer number (5621501045160).

Almost surely, 2^{313140455541324} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 313140455541324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404748075251520).

313140455541324 is an abundant number, since it is smaller than the sum of its proper divisors (496355694961716).

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

313140455541324 is a wasteful number, since it uses less digits than its factorization.

313140455541324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1100900 (or 1100895 counting only the distinct ones).

The product of its (nonzero) digits is 1728000, while the sum is 45.

The spelling of 313140455541324 in words is "three hundred thirteen trillion, one hundred forty billion, four hundred fifty-five million, five hundred forty-one thousand, three hundred twenty-four".