101330133120 has 192 divisors, whose sum is σ = 350380569240. Its totient is φ = 26984693760.

The previous prime is 101330133067. The next prime is 101330133131. The reversal of 101330133120 is 21331033101.

It is a happy number.

101330133120 is a `hidden beast` number, since 1 + 0 + 1 + 330 + 1 + 331 + 2 + 0 = 666.

101330133120 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 4 ways, for example, as 12664351296 + 88665781824 = 112536^2 + 297768^2 .

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a junction number, because it is equal to n+sod(n) for n = 101330133093 and 101330133102.

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, 4371802 + ... + 4394918.

Almost surely, 2^101330133120 is an apocalyptic number.

101330133120 is a gapful number since it is divisible by the number (10) 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 101330133120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175190284620).

101330133120 is an abundant number, since it is smaller than the sum of its proper divisors (249050436120).

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

101330133120 is a wasteful number, since it uses less digits than its factorization.

101330133120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23903 (or 23888 counting only the distinct ones).

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

Adding to 101330133120 its reverse (21331033101), we get a palindrome (122661166221).

The spelling of 101330133120 in words is "one hundred one billion, three hundred thirty million, one hundred thirty-three thousand, one hundred twenty".