2023013200 has 60 divisors (see below), whose sum is σ = 5234171068. Its totient is φ = 746956800.

The previous prime is 2023013191. The next prime is 2023013203. The reversal of 2023013200 is 23103202.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 25280784 + 1997732416 = 5028^2 + 44696^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2023013203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 189321 + ... + 199720.

Almost surely, 2^2023013200 is an apocalyptic number.

2023013200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2023013200 is an abundant number, since it is smaller than the sum of its proper divisors (3211157868).

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

2023013200 is a wasteful number, since it uses less digits than its factorization.

2023013200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389072 (or 389061 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 2023013200 is about 44977.9190270070. The cubic root of 2023013200 is about 1264.7351015678.

Adding to 2023013200 its reverse (23103202), we get a palindrome (2046116402).

The spelling of 2023013200 in words is "two billion, twenty-three million, thirteen thousand, two hundred".