312320101112010 has 48 divisors (see below), whose sum is σ = 812035661842080. Its totient is φ = 83285011686240.

The previous prime is 312320101111973. The next prime is 312320101112029. The reversal of 312320101112010 is 10211101023213.

312320101112010 is a `hidden beast` number, since 31 + 2 + 320 + 1 + 0 + 111 + 201 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14726161 + ... + 29008619.

It is an arithmetic number, because the mean of its divisors is an integer number (16917409621710).

Almost surely, 2^{312320101112010} is an apocalyptic number.

312320101112010 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

312320101112010 is an abundant number, since it is smaller than the sum of its proper divisors (499715560730070).

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

312320101112010 is a wasteful number, since it uses less digits than its factorization.

312320101112010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14525443 (or 14525440 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 312320101112010 its reverse (10211101023213), we get a palindrome (322531202135223).

The spelling of 312320101112010 in words is "three hundred twelve trillion, three hundred twenty billion, one hundred one million, one hundred twelve thousand, ten".