133303100 has 72 divisors (see below), whose sum is σ = 341311488. Its totient is φ = 44222400.

The previous prime is 133303097. The next prime is 133303141. The reversal of 133303100 is 1303331.

It is a super-2 number, since 2×133303100² = 35539432939220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18629 + ... + 24771.

Almost surely, 2^133303100 is an apocalyptic number.

133303100 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 133303100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170655744).

133303100 is an abundant number, since it is smaller than the sum of its proper divisors (208008388).

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

133303100 is a wasteful number, since it uses less digits than its factorization.

133303100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6195 (or 6188 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 14.

The square root of 133303100 is about 11545.6961678367. The cubic root of 133303100 is about 510.8343385293.

Adding to 133303100 its reverse (1303331), we get a palindrome (134606431).

The spelling of 133303100 in words is "one hundred thirty-three million, three hundred three thousand, one hundred".