133221020100 has 144 divisors (see below), whose sum is σ = 443065058688. Its totient is φ = 30274421760.

The previous prime is 133221020077. The next prime is 133221020123. The reversal of 133221020100 is 1020122331.

It is an interprime number because it is at equal distance from previous prime (133221020077) and next prime (133221020123).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 133221020100.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 179952 + ... + 546648.

Almost surely, 2^133221020100 is an apocalyptic number.

133221020100 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 133221020100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221532529344).

133221020100 is an abundant number, since it is smaller than the sum of its proper divisors (309844038588).

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

133221020100 is a wasteful number, since it uses less digits than its factorization.

133221020100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366894 (or 366887 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 133221020100 its reverse (1020122331), we get a palindrome (134241142431).

The spelling of 133221020100 in words is "one hundred thirty-three billion, two hundred twenty-one million, twenty thousand, one hundred".