313012313334 has 128 divisors (see below), whose sum is σ = 823198924800. Its totient is φ = 86260567680.

The previous prime is 313012313321. The next prime is 313012313351. The reversal of 313012313334 is 433313210313.

313012313334 is a `hidden beast` number, since 3 + 1 + 3 + 0 + 12 + 313 + 334 = 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 = 313012313298 and 313012313307.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11178219 + ... + 11206185.

It is an arithmetic number, because the mean of its divisors is an integer number (6431241600).

Almost surely, 2^313012313334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 313012313334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411599462400).

313012313334 is an abundant number, since it is smaller than the sum of its proper divisors (510186611466).

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

313012313334 is a wasteful number, since it uses less digits than its factorization.

313012313334 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29035 (or 29029 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 313012313334 its reverse (433313210313), we get a palindrome (746325523647).

The spelling of 313012313334 in words is "three hundred thirteen billion, twelve million, three hundred thirteen thousand, three hundred thirty-four".