133431306 has 8 divisors (see below), whose sum is σ = 266862624. Its totient is φ = 44477100.

The previous prime is 133431299. The next prime is 133431307. The reversal of 133431306 is 603134331.

It is a sphenic number, since it is the product of 3 distinct primes.

133431306 is an admirable number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (133431307) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 11119270 + ... + 11119281.

It is an arithmetic number, because the mean of its divisors is an integer number (33357828).

Almost surely, 2^133431306 is an apocalyptic number.

133431306 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

133431306 is a wasteful number, since it uses less digits than its factorization.

133431306 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22238556.

The product of its (nonzero) digits is 1944, while the sum is 24.

The square root of 133431306 is about 11551.2469456765. The cubic root of 133431306 is about 510.9980532578.

Adding to 133431306 its reverse (603134331), we get a palindrome (736565637).

It can be divided in two parts, 1334 and 31306, that added together give a triangular number (32640 = T₂₅₅).

The spelling of 133431306 in words is "one hundred thirty-three million, four hundred thirty-one thousand, three hundred six".