133320401214 has 256 divisors, whose sum is σ = 379735050240. Its totient is φ = 30031626240.

The previous prime is 133320401189. The next prime is 133320401251. The reversal of 133320401214 is 412104023331.

It is a happy number.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 103428682 + ... + 103429970.

It is an arithmetic number, because the mean of its divisors is an integer number (1483340040).

Almost surely, 2^133320401214 is an apocalyptic number.

133320401214 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 133320401214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189867525120).

133320401214 is an abundant number, since it is smaller than the sum of its proper divisors (246414649026).

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

133320401214 is a wasteful number, since it uses less digits than its factorization.

133320401214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2355.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 133320401214 its reverse (412104023331), we get a palindrome (545424424545).

The spelling of 133320401214 in words is "one hundred thirty-three billion, three hundred twenty million, four hundred one thousand, two hundred fourteen".