312313012212330 has 192 divisors, whose sum is σ = 824489915558400. Its totient is φ = 82013405810688.

The previous prime is 312313012212319. The next prime is 312313012212343. The reversal of 312313012212330 is 33212210313213.

312313012212330 is a `hidden beast` number, since 3 + 1 + 2 + 3 + 1 + 301 + 2 + 21 + 2 + 330 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 312313012212294 and 312313012212303.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3278037574 + ... + 3278132846.

It is an arithmetic number, because the mean of its divisors is an integer number (4294218310200).

Almost surely, 2^{312313012212330} is an apocalyptic number.

312313012212330 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 312313012212330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (412244957779200).

312313012212330 is an abundant number, since it is smaller than the sum of its proper divisors (512176903346070).

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

312313012212330 is a wasteful number, since it uses less digits than its factorization.

312313012212330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97365 (or 97362 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 312313012212330 its reverse (33212210313213), we get a palindrome (345525222525543).

The spelling of 312313012212330 in words is "three hundred twelve trillion, three hundred thirteen billion, twelve million, two hundred twelve thousand, three hundred thirty".