312403330010020 has 24 divisors (see below), whose sum is σ = 656052500255544. Its totient is φ = 124960283006976.

The previous prime is 312403330010003. The next prime is 312403330010021. The reversal of 312403330010020 is 20010033304213.

It can be written as a sum of positive squares in 4 ways, for example, as 26099265257536 + 286304064752484 = 5108744^2 + 16920522^2 .

It is a junction number, because it is equal to n+sod(n) for n = 312403330009973 and 312403330010000.

It is not an unprimeable number, because it can be changed into a prime (312403330010021) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 63118039 + ... + 67887358.

It is an arithmetic number, because the mean of its divisors is an integer number (27335520843981).

Almost surely, 2^{312403330010020} is an apocalyptic number.

It is an amenable number.

312403330010020 is an abundant number, since it is smaller than the sum of its proper divisors (343649170245524).

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

312403330010020 is a wasteful number, since it uses less digits than its factorization.

312403330010020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131124639 (or 131124637 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 312403330010020 its reverse (20010033304213), we get a palindrome (332413363314233).

The spelling of 312403330010020 in words is "three hundred twelve trillion, four hundred three billion, three hundred thirty million, ten thousand, twenty".