101331322113312 has 288 divisors, whose sum is σ = 307966410198720. Its totient is φ = 31510312796160.

The previous prime is 101331322113289. The next prime is 101331322113367. The reversal of 101331322113312 is 213311223133101.

101331322113312 is a `hidden beast` number, since 1 + 0 + 1 + 3 + 3 + 1 + 322 + 1 + 1 + 331 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 47 ways as a sum of consecutive naturals, for example, 1038597012 + ... + 1038694572.

It is an arithmetic number, because the mean of its divisors is an integer number (1069327813190).

Almost surely, 2^{101331322113312} is an apocalyptic number.

101331322113312 is a gapful number since it is divisible by the number (12) 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 101331322113312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153983205099360).

101331322113312 is an abundant number, since it is smaller than the sum of its proper divisors (206635088085408).

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

101331322113312 is a wasteful number, since it uses less digits than its factorization.

101331322113312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100496 (or 100485 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

Adding to 101331322113312 its reverse (213311223133101), we get a palindrome (314642545246413).

The spelling of 101331322113312 in words is "one hundred one trillion, three hundred thirty-one billion, three hundred twenty-two million, one hundred thirteen thousand, three hundred twelve".