233131342213200 has 120 divisors (see below), whose sum is σ = 786102525925600. Its totient is φ = 58896339079680.

The previous prime is 233131342213157. The next prime is 233131342213229. The reversal of 233131342213200 is 2312243131332.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (30).

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 23 ways as a sum of consecutive naturals, for example, 5112506635 + ... + 5112552234.

Almost surely, 2^{233131342213200} is an apocalyptic number.

233131342213200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

233131342213200 is an abundant number, since it is smaller than the sum of its proper divisors (552971183712400).

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

233131342213200 is a wasteful number, since it uses less digits than its factorization.

233131342213200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10225058909 (or 10225058898 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 30.

Adding to 233131342213200 its reverse (2312243131332), we get a palindrome (235443585344532).

The spelling of 233131342213200 in words is "two hundred thirty-three trillion, one hundred thirty-one billion, three hundred forty-two million, two hundred thirteen thousand, two hundred".