100321133133120 has 224 divisors, whose sum is σ = 320751355017216. Its totient is φ = 26564993280000.

The previous prime is 100321133133103. The next prime is 100321133133131. The reversal of 100321133133120 is 21331331123001.

It is a super-2 number, since 2×100321133133120² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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, 383578395 + ... + 383839845.

Almost surely, 2^{100321133133120} is an apocalyptic number.

100321133133120 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 100321133133120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160375677508608).

100321133133120 is an abundant number, since it is smaller than the sum of its proper divisors (220430221884096).

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

100321133133120 is a wasteful number, since it uses less digits than its factorization.

100321133133120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264269 (or 264259 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 24.

Adding to 100321133133120 its reverse (21331331123001), we get a palindrome (121652464256121).

The spelling of 100321133133120 in words is "one hundred trillion, three hundred twenty-one billion, one hundred thirty-three million, one hundred thirty-three thousand, one hundred twenty".