101133303120 has 240 divisors, whose sum is σ = 356304873600. Its totient is φ = 25671797760.

The previous prime is 101133303119. The next prime is 101133303157. The reversal of 101133303120 is 21303331101.

It is a happy number.

101133303120 is a `hidden beast` number, since 10 + 1 + 13 + 330 + 312 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 = 101133303093 and 101133303102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1448371 + ... + 1516589.

It is an arithmetic number, because the mean of its divisors is an integer number (1484603640).

Almost surely, 2^101133303120 is an apocalyptic number.

101133303120 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 101133303120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178152436800).

101133303120 is an abundant number, since it is smaller than the sum of its proper divisors (255171570480).

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

101133303120 is a wasteful number, since it uses less digits than its factorization.

101133303120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68338 (or 68329 counting only the distinct ones).

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

Adding to 101133303120 its reverse (21303331101), we get a palindrome (122436634221).

The spelling of 101133303120 in words is "one hundred one billion, one hundred thirty-three million, three hundred three thousand, one hundred twenty".