233134032330 has 112 divisors (see below), whose sum is σ = 631789509384. Its totient is φ = 61910645760.

The previous prime is 233134032323. The next prime is 233134032337. The reversal of 233134032330 is 33230431332.

It is a happy number.

233134032330 is a `hidden beast` number, since 2 + 331 + 3 + 4 + 0 + 323 + 3 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (233134032323) and next prime (233134032337).

It can be written as a sum of positive squares in 4 ways, for example, as 136606377609 + 96527654721 = 369603^2 + 310689^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 233134032294 and 233134032303.

It is not an unprimeable number, because it can be changed into a prime (233134032337) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1690542 + ... + 1823238.

Almost surely, 2^233134032330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 233134032330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315894754692).

233134032330 is an abundant number, since it is smaller than the sum of its proper divisors (398655477054).

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

233134032330 is a wasteful number, since it uses less digits than its factorization.

233134032330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132963 (or 132948 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 27.

Adding to 233134032330 its reverse (33230431332), we get a palindrome (266364463662).

The spelling of 233134032330 in words is "two hundred thirty-three billion, one hundred thirty-four million, thirty-two thousand, three hundred thirty".