313223404032 has 960 divisors, whose sum is σ = 1189432442880. Its totient is φ = 80472268800.

The previous prime is 313223404027. The next prime is 313223404093. The reversal of 313223404032 is 230404322313.

313223404032 is a `hidden beast` number, since 3 + 1 + 3 + 223 + 404 + 0 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 313223403987 and 313223404005.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 946294107 + ... + 946294437.

It is an arithmetic number, because the mean of its divisors is an integer number (1238992128).

Almost surely, 2^313223404032 is an apocalyptic number.

313223404032 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 313223404032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (594716221440).

313223404032 is an abundant number, since it is smaller than the sum of its proper divisors (876209038848).

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

313223404032 is a wasteful number, since it uses less digits than its factorization.

313223404032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 510 (or 481 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 313223404032 its reverse (230404322313), we get a palindrome (543627726345).

The spelling of 313223404032 in words is "three hundred thirteen billion, two hundred twenty-three million, four hundred four thousand, thirty-two".