133021314 has 24 divisors (see below), whose sum is σ = 289081260. Its totient is φ = 44206848.

The previous prime is 133021271. The next prime is 133021321. The reversal of 133021314 is 413120331.

133021314 is a `hidden beast` number, since 1 + 330 + 21 + 314 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 125552025 + 7469289 = 11205^2 + 2733^2 .

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

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 4899 + ... + 17030.

Almost surely, 2^133021314 is an apocalyptic number.

133021314 is an abundant number, since it is smaller than the sum of its proper divisors (156059946).

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

133021314 is a wasteful number, since it uses less digits than its factorization.

133021314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22274 (or 22271 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 133021314 is about 11533.4866367461. The cubic root of 133021314 is about 510.4741380736.

Adding to 133021314 its reverse (413120331), we get a palindrome (546141645).

It can be divided in two parts, 13302 and 1314, that multiplied together give a triangular number (17478828 = T₅₉₁₂).

The spelling of 133021314 in words is "one hundred thirty-three million, twenty-one thousand, three hundred fourteen".