100133011303020 has 192 divisors, whose sum is σ = 311985254448000. Its totient is φ = 26662695616512.

The previous prime is 100133011302991. The next prime is 100133011303037. The reversal of 100133011303020 is 20303110331001.

It is a happy number.

100133011303020 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 330 + 1 + 1 + 30 + 302 + 0 = 666.

It is a super-2 number, since 2×100133011303020² (a number of 29 digits) contains 22 as substring.

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 = 100133011302984 and 100133011303002.

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 63 ways as a sum of consecutive naturals, for example, 1971523786 + ... + 1971574574.

It is an arithmetic number, because the mean of its divisors is an integer number (1624923200250).

Almost surely, 2^{100133011303020} is an apocalyptic number.

100133011303020 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 100133011303020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155992627224000).

100133011303020 is an abundant number, since it is smaller than the sum of its proper divisors (211852243144980).

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

100133011303020 is a wasteful number, since it uses less digits than its factorization.

100133011303020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56129 (or 56121 counting only the distinct ones).

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

Adding to 100133011303020 its reverse (20303110331001), we get a palindrome (120436121634021).

The spelling of 100133011303020 in words is "one hundred trillion, one hundred thirty-three billion, eleven million, three hundred three thousand, twenty".