101331133221312 has 168 divisors, whose sum is σ = 294331751435904. Its totient is φ = 33328001581056.

The previous prime is 101331133221301. The next prime is 101331133221337. The reversal of 101331133221312 is 213122331133101.

101331133221312 is a `hidden beast` number, since 1 + 0 + 1 + 3 + 3 + 11 + 332 + 2 + 1 + 312 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11023968 + ... + 18005280.

It is an arithmetic number, because the mean of its divisors is an integer number (1751974710928).

Almost surely, 2^{101331133221312} is an apocalyptic number.

101331133221312 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 101331133221312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147165875717952).

101331133221312 is an abundant number, since it is smaller than the sum of its proper divisors (193000618214592).

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

101331133221312 is a wasteful number, since it uses less digits than its factorization.

101331133221312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6981667 (or 6981654 counting only the distinct ones).

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

Adding to 101331133221312 its reverse (213122331133101), we get a palindrome (314453464354413).

The spelling of 101331133221312 in words is "one hundred one trillion, three hundred thirty-one billion, one hundred thirty-three million, two hundred twenty-one thousand, three hundred twelve".