101332133300 has 72 divisors (see below), whose sum is σ = 224297102400. Its totient is φ = 39726720000.

The previous prime is 101332133263. The next prime is 101332133317. The reversal of 101332133300 is 3331233101.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1295300 + ... + 1371300.

Almost surely, 2^101332133300 is an apocalyptic number.

101332133300 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 101332133300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112148551200).

101332133300 is an abundant number, since it is smaller than the sum of its proper divisors (122964969100).

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

101332133300 is a wasteful number, since it uses less digits than its factorization.

101332133300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76281 (or 76274 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 20.

Adding to 101332133300 its reverse (3331233101), we get a palindrome (104663366401).

The spelling of 101332133300 in words is "one hundred one billion, three hundred thirty-two million, one hundred thirty-three thousand, three hundred".