233101023120 has 240 divisors, whose sum is σ = 895598570880. Its totient is φ = 53224574976.

The previous prime is 233101023097. The next prime is 233101023131. The reversal of 233101023120 is 21320101332.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 233101023093 and 233101023102.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4900411 + ... + 4947749.

It is an arithmetic number, because the mean of its divisors is an integer number (3731660712).

Almost surely, 2^233101023120 is an apocalyptic number.

233101023120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 233101023120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (447799285440).

233101023120 is an abundant number, since it is smaller than the sum of its proper divisors (662497547760).

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

233101023120 is a wasteful number, since it uses less digits than its factorization.

233101023120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48342 (or 48333 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 233101023120 its reverse (21320101332), we get a palindrome (254421124452).

The spelling of 233101023120 in words is "two hundred thirty-three billion, one hundred one million, twenty-three thousand, one hundred twenty".