133001028 has 30 divisors (see below), whose sum is σ = 347691806. Its totient is φ = 44333568.

The previous prime is 133001027. The next prime is 133001039. The reversal of 133001028 is 820100331.

It can be written as a sum of positive squares in only one way, i.e., 93083904 + 39917124 = 9648^2 + 6318^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 133001028.

It is not an unprimeable number, because it can be changed into a prime (133001027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 204925 + ... + 205572.

Almost surely, 2^133001028 is an apocalyptic number.

133001028 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

133001028 is an abundant number, since it is smaller than the sum of its proper divisors (214690778).

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

133001028 is a wasteful number, since it uses less digits than its factorization.

133001028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410513 (or 410502 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 133001028 is about 11532.6071640371. The cubic root of 133001028 is about 510.4481873331.

Adding to 133001028 its reverse (820100331), we get a palindrome (953101359).

The spelling of 133001028 in words is "one hundred thirty-three million, one thousand, twenty-eight".