321013201233312 has 432 divisors, whose sum is σ = 1101358694060352. Its totient is φ = 91709306680320.

The previous prime is 321013201233281. The next prime is 321013201233343. The reversal of 321013201233312 is 213332102310123.

321013201233312 is a `hidden beast` number, since 3 + 2 + 1 + 0 + 1 + 320 + 1 + 2 + 3 + 331 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (321013201233281) and next prime (321013201233343).

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4721234388 + ... + 4721302380.

It is an arithmetic number, because the mean of its divisors is an integer number (2549441421436).

Almost surely, 2^{321013201233312} is an apocalyptic number.

321013201233312 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 321013201233312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (550679347030176).

321013201233312 is an abundant number, since it is smaller than the sum of its proper divisors (780345492827040).

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

321013201233312 is a wasteful number, since it uses less digits than its factorization.

321013201233312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80423 (or 80396 counting only the distinct ones).

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

Adding to 321013201233312 its reverse (213332102310123), we get a palindrome (534345303543435).

The spelling of 321013201233312 in words is "three hundred twenty-one trillion, thirteen billion, two hundred one million, two hundred thirty-three thousand, three hundred twelve".