133010100 has 90 divisors (see below), whose sum is σ = 431192454. Its totient is φ = 35467200.

The previous prime is 133010099. The next prime is 133010107. The reversal of 133010100 is 1010331.

It can be written as a sum of positive squares in 3 ways, for example, as 1127844 + 131882256 = 1062^2 + 11484^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133010107) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 111 + ... + 16310.

Almost surely, 2^133010100 is an apocalyptic number.

133010100 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 133010100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215596227).

133010100 is an abundant number, since it is smaller than the sum of its proper divisors (298182354).

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

133010100 is a wasteful number, since it uses less digits than its factorization.

133010100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16447 (or 16431 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 9.

The square root of 133010100 is about 11533.0004768924. Note that the first 3 decimals coincide. The cubic root of 133010100 is about 510.4597929593.

Adding to 133010100 its reverse (1010331), we get a palindrome (134020431).

The spelling of 133010100 in words is "one hundred thirty-three million, ten thousand, one hundred".