100133132320 has 192 divisors, whose sum is σ = 261689188320. Its totient is φ = 35971891200.

The previous prime is 100133132317. The next prime is 100133132353. The reversal of 100133132320 is 23231331001.

It can be written as a sum of positive squares in 16 ways, for example, as 18855683856 + 81277448464 = 137316^2 + 285092^2 .

It is a super-3 number, since 3×100133132320³ (a number of 34 digits) contains 333 as substring.

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, 35901486 + ... + 35904274.

Almost surely, 2^100133132320 is an apocalyptic number.

100133132320 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 100133132320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130844594160).

100133132320 is an abundant number, since it is smaller than the sum of its proper divisors (161556056000).

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

100133132320 is a wasteful number, since it uses less digits than its factorization.

100133132320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3279 (or 3271 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 19.

Adding to 100133132320 its reverse (23231331001), we get a palindrome (123364463321).

The spelling of 100133132320 in words is "one hundred billion, one hundred thirty-three million, one hundred thirty-two thousand, three hundred twenty".