233123010213312 has 224 divisors, whose sum is σ = 694331481844800. Its totient is φ = 76694548709376.

The previous prime is 233123010213307. The next prime is 233123010213341. The reversal of 233123010213312 is 213312010321332.

233123010213312 is a `hidden beast` number, since 2 + 3 + 3 + 1 + 2 + 301 + 0 + 21 + 331 + 2 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38109264 + ... + 43801392.

Almost surely, 2^{233123010213312} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 233123010213312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347165740922400).

233123010213312 is an abundant number, since it is smaller than the sum of its proper divisors (461208471631488).

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

233123010213312 is a wasteful number, since it uses less digits than its factorization.

233123010213312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5692460 (or 5692444 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 233123010213312 its reverse (213312010321332), we get a palindrome (446435020534644).

The spelling of 233123010213312 in words is "two hundred thirty-three trillion, one hundred twenty-three billion, ten million, two hundred thirteen thousand, three hundred twelve".