100303032133220 has 144 divisors (see below), whose sum is σ = 257942540842560. Its totient is φ = 32577047306496.

The previous prime is 100303032133211. The next prime is 100303032133229. The reversal of 100303032133220 is 22331230303001.

It is an interprime number because it is at equal distance from previous prime (100303032133211) and next prime (100303032133229).

It is not an unprimeable number, because it can be changed into a prime (100303032133229) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 241908722 + ... + 242322998.

It is an arithmetic number, because the mean of its divisors is an integer number (1791267644740).

Almost surely, 2^{100303032133220} is an apocalyptic number.

100303032133220 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 100303032133220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128971270421280).

100303032133220 is an abundant number, since it is smaller than the sum of its proper divisors (157639508709340).

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

100303032133220 is a wasteful number, since it uses less digits than its factorization.

100303032133220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427322 (or 427313 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 23.

Adding to 100303032133220 its reverse (22331230303001), we get a palindrome (122634262436221).

The spelling of 100303032133220 in words is "one hundred trillion, three hundred three billion, thirty-two million, one hundred thirty-three thousand, two hundred twenty".