101011332312 has 256 divisors, whose sum is σ = 314645990400. Its totient is φ = 29759616000.

The previous prime is 101011332251. The next prime is 101011332329. The reversal of 101011332312 is 213233110101.

101011332312 is a `hidden beast` number, since 1 + 0 + 10 + 11 + 332 + 312 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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, 30879237 + ... + 30882507.

It is an arithmetic number, because the mean of its divisors is an integer number (1229085900).

Almost surely, 2^101011332312 is an apocalyptic number.

101011332312 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 101011332312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157322995200).

101011332312 is an abundant number, since it is smaller than the sum of its proper divisors (213634658088).

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

101011332312 is a wasteful number, since it uses less digits than its factorization.

101011332312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3655 (or 3645 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 101011332312 its reverse (213233110101), we get a palindrome (314244442413).

The spelling of 101011332312 in words is "one hundred one billion, eleven million, three hundred thirty-two thousand, three hundred twelve".