101323133120 has 224 divisors, whose sum is σ = 280416487680. Its totient is φ = 34483138560.

The previous prime is 101323133077. The next prime is 101323133167. The reversal of 101323133120 is 21331323101.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 101323133092 and 101323133101.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5541914 + ... + 5560166.

It is an arithmetic number, because the mean of its divisors is an integer number (1251859320).

Almost surely, 2^101323133120 is an apocalyptic number.

101323133120 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 101323133120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140208243840).

101323133120 is an abundant number, since it is smaller than the sum of its proper divisors (179093354560).

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

101323133120 is a wasteful number, since it uses less digits than its factorization.

101323133120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18383 (or 18373 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 101323133120 its reverse (21331323101), we get a palindrome (122654456221).

The spelling of 101323133120 in words is "one hundred one billion, three hundred twenty-three million, one hundred thirty-three thousand, one hundred twenty".