2023013300 has 144 divisors (see below), whose sum is σ = 5711634432. Its totient is φ = 603081600.

The previous prime is 2023013281. The next prime is 2023013329. The reversal of 2023013300 is 33103202.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 171389 + ... + 182811.

It is an arithmetic number, because the mean of its divisors is an integer number (39664128).

Almost surely, 2^2023013300 is an apocalyptic number.

2023013300 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 2023013300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2855817216).

2023013300 is an abundant number, since it is smaller than the sum of its proper divisors (3688621132).

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

2023013300 is a wasteful number, since it uses less digits than its factorization.

2023013300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11478 (or 11471 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 14.

The square root of 2023013300 is about 44977.9201386636. The cubic root of 2023013300 is about 1264.7351224069.

Adding to 2023013300 its reverse (33103202), we get a palindrome (2056116502).

The spelling of 2023013300 in words is "two billion, twenty-three million, thirteen thousand, three hundred".