233020023201300 has 288 divisors, whose sum is σ = 695337084578304. Its totient is φ = 60205204800000.

The previous prime is 233020023201247. The next prime is 233020023201307. The reversal of 233020023201300 is 3102320020332.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233020023201307) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 24994098439 + ... + 24994107761.

It is an arithmetic number, because the mean of its divisors is an integer number (2414364877008).

Almost surely, 2^{233020023201300} is an apocalyptic number.

233020023201300 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 233020023201300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347668542289152).

233020023201300 is an abundant number, since it is smaller than the sum of its proper divisors (462317061377004).

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

233020023201300 is a wasteful number, since it uses less digits than its factorization.

233020023201300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18599 (or 18592 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 21.

Adding to 233020023201300 its reverse (3102320020332), we get a palindrome (236122343221632).

The spelling of 233020023201300 in words is "two hundred thirty-three trillion, twenty billion, twenty-three million, two hundred one thousand, three hundred".