313133042011104 has 144 divisors (see below), whose sum is σ = 1017691123438080. Its totient is φ = 89465815353600.

The previous prime is 313133042011079. The next prime is 313133042011117. The reversal of 313133042011104 is 401110240331313.

313133042011104 is a `hidden beast` number, since 3 + 1 + 3 + 133 + 0 + 420 + 1 + 1 + 104 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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, 259362957 + ... + 260567475.

It is an arithmetic number, because the mean of its divisors is an integer number (7067299468320).

Almost surely, 2^{313133042011104} is an apocalyptic number.

It is an amenable number.

313133042011104 is an abundant number, since it is smaller than the sum of its proper divisors (704558081426976).

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

313133042011104 is a wasteful number, since it uses less digits than its factorization.

313133042011104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1333493 (or 1333482 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 313133042011104 its reverse (401110240331313), we get a palindrome (714243282342417).

The spelling of 313133042011104 in words is "three hundred thirteen trillion, one hundred thirty-three billion, forty-two million, eleven thousand, one hundred four".