233001101011120 has 80 divisors (see below), whose sum is σ = 583424917602912. Its totient is φ = 86027340625920.

The previous prime is 233001101011099. The next prime is 233001101011123. The reversal of 233001101011120 is 21110101100332.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 233001101011094 and 233001101011103.

It is not an unprimeable number, because it can be changed into a prime (233001101011123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18399900 + ... + 28364740.

Almost surely, 2^{233001101011120} is an apocalyptic number.

233001101011120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

233001101011120 is an abundant number, since it is smaller than the sum of its proper divisors (350423816591792).

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

233001101011120 is a wasteful number, since it uses less digits than its factorization.

233001101011120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9987350 (or 9987344 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 233001101011120 its reverse (21110101100332), we get a palindrome (254111202111452).

The spelling of 233001101011120 in words is "two hundred thirty-three trillion, one billion, one hundred one million, eleven thousand, one hundred twenty".