101010331332 has 108 divisors (see below), whose sum is σ = 285329709756. Its totient is φ = 30021580800.

The previous prime is 101010331319. The next prime is 101010331463. The reversal of 101010331332 is 233133010101.

It is a happy number.

101010331332 is a `hidden beast` number, since 1 + 0 + 1 + 0 + 1 + 0 + 331 + 332 = 666.

101010331332 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 93970450116 + 7039881216 = 306546^2 + 83904^2 .

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

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 35 ways as a sum of consecutive naturals, for example, 7669 + ... + 449532.

It is an arithmetic number, because the mean of its divisors is an integer number (2641941757).

Almost surely, 2^101010331332 is an apocalyptic number.

101010331332 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 101010331332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142664854878).

101010331332 is an abundant number, since it is smaller than the sum of its proper divisors (184319378424).

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

101010331332 is a wasteful number, since it uses less digits than its factorization.

101010331332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 457266 (or 457242 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 101010331332 its reverse (233133010101), we get a palindrome (334143341433).

The spelling of 101010331332 in words is "one hundred one billion, ten million, three hundred thirty-one thousand, three hundred thirty-two".