312021030013000 has 512 divisors, whose sum is σ = 921013441920000. Its totient is φ = 96112355328000.

The previous prime is 312021030012997. The next prime is 312021030013013. The reversal of 312021030013000 is 310030120213.

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 127 ways as a sum of consecutive naturals, for example, 3264829216 + ... + 3264924784.

It is an arithmetic number, because the mean of its divisors is an integer number (1798854378750).

Almost surely, 2^{312021030013000} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312021030013000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (460506720960000).

312021030013000 is an abundant number, since it is smaller than the sum of its proper divisors (608992411907000).

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

312021030013000 is a wasteful number, since it uses less digits than its factorization.

312021030013000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96106 (or 96092 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 312021030013000 its reverse (310030120213), we get a palindrome (312331060133213).

The spelling of 312021030013000 in words is "three hundred twelve trillion, twenty-one billion, thirty million, thirteen thousand".