10322213313312 has 72 divisors (see below), whose sum is σ = 29431245065040. Its totient is φ = 3431659271040.

The previous prime is 10322213313311. The next prime is 10322213313319. The reversal of 10322213313312 is 21331331222301.

10322213313312 is a `hidden beast` number, since 1 + 0 + 3 + 2 + 22 + 13 + 313 + 312 = 666.

10322213313312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (10322213313311) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 47174514 + ... + 47392817.

It is an arithmetic number, because the mean of its divisors is an integer number (408767292570).

Almost surely, 2^{10322213313312} is an apocalyptic number.

10322213313312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10322213313312 is an abundant number, since it is smaller than the sum of its proper divisors (19109031751728).

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

10322213313312 is a wasteful number, since it uses less digits than its factorization.

10322213313312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94567726 (or 94567715 counting only the distinct ones).

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

Adding to 10322213313312 its reverse (21331331222301), we get a palindrome (31653544535613).

The spelling of 10322213313312 in words is "ten trillion, three hundred twenty-two billion, two hundred thirteen million, three hundred thirteen thousand, three hundred twelve".