23013000 has 96 divisors (see below), whose sum is σ = 77814360. Its totient is φ = 6134400.

The previous prime is 23012993. The next prime is 23013007. The reversal of 23013000 is 31032.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (23012993) and next prime (23013007).

It can be written as a sum of positive squares in 4 ways, for example, as 6022116 + 16990884 = 2454^2 + 4122^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (23013007) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7722 + ... + 10278.

Almost surely, 2^23013000 is an apocalyptic number.

23013000 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 23013000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38907180).

23013000 is an abundant number, since it is smaller than the sum of its proper divisors (54801360).

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

23013000 is a wasteful number, since it uses less digits than its factorization.

23013000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2584 (or 2567 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 9.

The square root of 23013000 is about 4797.1866755422. The cubic root of 23013000 is about 284.4402679960.

Adding to 23013000 its reverse (31032), we get a palindrome (23044032).

The spelling of 23013000 in words is "twenty-three million, thirteen thousand".