312011613321330 has 128 divisors (see below), whose sum is σ = 807778444435200. Its totient is φ = 76674503245824.

The previous prime is 312011613321329. The next prime is 312011613321449. The reversal of 312011613321330 is 33123316110213.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 913166682 + ... + 913508298.

It is an arithmetic number, because the mean of its divisors is an integer number (6310769097150).

Almost surely, 2^{312011613321330} is an apocalyptic number.

312011613321330 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 312011613321330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403889222217600).

312011613321330 is an abundant number, since it is smaller than the sum of its proper divisors (495766831113870).

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

312011613321330 is a wasteful number, since it uses less digits than its factorization.

312011613321330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345548.

The product of its (nonzero) digits is 5832, while the sum is 30.

Adding to 312011613321330 its reverse (33123316110213), we get a palindrome (345134929431543).

The spelling of 312011613321330 in words is "three hundred twelve trillion, eleven billion, six hundred thirteen million, three hundred twenty-one thousand, three hundred thirty".