313043330324340 has 240 divisors, whose sum is σ = 1224347247978624. Its totient is φ = 65047964716800.

The previous prime is 313043330324303. The next prime is 313043330324533. The reversal of 313043330324340 is 43423033340313.

313043330324340 is a `hidden beast` number, since 3 + 1 + 3 + 0 + 4 + 3 + 3 + 303 + 2 + 4 + 340 = 666.

It is a super-2 number, since 2×313043330324340² (a number of 30 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 313043330324295 and 313043330324304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1254658531 + ... + 1254908010.

Almost surely, 2^{313043330324340} is an apocalyptic number.

313043330324340 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

313043330324340 is an abundant number, since it is smaller than the sum of its proper divisors (911303917654284).

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

313043330324340 is a wasteful number, since it uses less digits than its factorization.

313043330324340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2509566580 (or 2509566569 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 36.

Adding to 313043330324340 its reverse (43423033340313), we get a palindrome (356466363664653).

The spelling of 313043330324340 in words is "three hundred thirteen trillion, forty-three billion, three hundred thirty million, three hundred twenty-four thousand, three hundred forty".