101330220001320 has 256 divisors, whose sum is σ = 346030798176000. Its totient is φ = 26360416051200.

The previous prime is 101330220001259. The next prime is 101330220001321. The reversal of 101330220001320 is 23100022033101.

101330220001320 is a `hidden beast` number, since 1 + 0 + 1 + 330 + 2 + 200 + 0 + 132 + 0 = 666.

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 = 101330220001293 and 101330220001302.

It is not an unprimeable number, because it can be changed into a prime (101330220001321) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 669482211 + ... + 669633549.

It is an arithmetic number, because the mean of its divisors is an integer number (1351682805375).

Almost surely, 2^{101330220001320} is an apocalyptic number.

101330220001320 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 101330220001320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173015399088000).

101330220001320 is an abundant number, since it is smaller than the sum of its proper divisors (244700578174680).

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

101330220001320 is a wasteful number, since it uses less digits than its factorization.

101330220001320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166521 (or 166511 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 101330220001320 its reverse (23100022033101), we get a palindrome (124430242034421).

The spelling of 101330220001320 in words is "one hundred one trillion, three hundred thirty billion, two hundred twenty million, one thousand, three hundred twenty".