2023131310200 has 1152 divisors, whose sum is σ = 9369345323520. Its totient is φ = 377552793600.

The previous prime is 2023131310181. The next prime is 2023131310229. The reversal of 2023131310200 is 20131313202.

2023131310200 is a `hidden beast` number, since 2 + 0 + 23 + 131 + 310 + 200 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 66651427 + ... + 66681773.

It is an arithmetic number, because the mean of its divisors is an integer number (8133112260).

Almost surely, 2^{2023131310200} is an apocalyptic number.

2023131310200 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 2023131310200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4684672661760).

2023131310200 is an abundant number, since it is smaller than the sum of its proper divisors (7346214013320).

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

2023131310200 is a wasteful number, since it uses less digits than its factorization.

2023131310200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30437 (or 30425 counting only the distinct ones).

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

Adding to 2023131310200 its reverse (20131313202), we get a palindrome (2043262623402).

The spelling of 2023131310200 in words is "two trillion, twenty-three billion, one hundred thirty-one million, three hundred ten thousand, two hundred".