312334323313100 has 36 divisors (see below), whose sum is σ = 739380525372888. Its totient is φ = 113576117568000.

The previous prime is 312334323313081. The next prime is 312334323313123. The reversal of 312334323313100 is 1313323433213.

It is a super-2 number, since 2×312334323313100² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 141970145861 + ... + 141970148060.

Almost surely, 2^{312334323313100} is an apocalyptic number.

It is an amenable number.

312334323313100 is an abundant number, since it is smaller than the sum of its proper divisors (427046202059788).

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

312334323313100 is a wasteful number, since it uses less digits than its factorization.

312334323313100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283940293946 (or 283940293939 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 32.

Adding to 312334323313100 its reverse (1313323433213), we get a palindrome (313647646746313).

The spelling of 312334323313100 in words is "three hundred twelve trillion, three hundred thirty-four billion, three hundred twenty-three million, three hundred thirteen thousand, one hundred".