311431004120034 has 48 divisors (see below), whose sum is σ = 689126335597440. Its totient is φ = 101601248627040.

The previous prime is 311431004119997. The next prime is 311431004120087. The reversal of 311431004120034 is 430021400134113.

311431004120034 is a `hidden beast` number, since 3 + 1 + 143 + 100 + 412 + 0 + 0 + 3 + 4 = 666.

It is a super-3 number, since 3×311431004120034³ (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 361538524 + ... + 362398904.

It is an arithmetic number, because the mean of its divisors is an integer number (14356798658280).

Almost surely, 2^{311431004120034} is an apocalyptic number.

311431004120034 is an abundant number, since it is smaller than the sum of its proper divisors (377695331477406).

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

311431004120034 is a wasteful number, since it uses less digits than its factorization.

311431004120034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1288295 (or 1288292 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 311431004120034 its reverse (430021400134113), we get a palindrome (741452404254147).

The spelling of 311431004120034 in words is "three hundred eleven trillion, four hundred thirty-one billion, four million, one hundred twenty thousand, thirty-four".