233132400313219 has 16 divisors (see below), whose sum is σ = 257914214781696. Its totient is φ = 208948715735200.

The previous prime is 233132400313213. The next prime is 233132400313279. The reversal of 233132400313219 is 912313004231332.

It is a cyclic number.

It is not a de Polignac number, because 233132400313219 - 2²⁹ = 233131863442307 is a prime.

It is a super-2 number, since 2×233132400313219² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (233132400313213) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 30969324 + ... + 37753990.

It is an arithmetic number, because the mean of its divisors is an integer number (16119638423856).

Almost surely, 2^{233132400313219} is an apocalyptic number.

233132400313219 is a deficient number, since it is larger than the sum of its proper divisors (24781814468477).

233132400313219 is a wasteful number, since it uses less digits than its factorization.

233132400313219 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6828746.

The product of its (nonzero) digits is 69984, while the sum is 37.

The spelling of 233132400313219 in words is "two hundred thirty-three trillion, one hundred thirty-two billion, four hundred million, three hundred thirteen thousand, two hundred nineteen".