20013000 has 128 divisors (see below), whose sum is σ = 71435520. Its totient is φ = 4569600.

The previous prime is 20012999. The next prime is 20013031. The reversal of 20013000 is 31002.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a self number, because there is not a number n which added to its sum of digits gives 20013000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20524 + ... + 21476.

It is an arithmetic number, because the mean of its divisors is an integer number (558090).

Almost surely, 2^20013000 is an apocalyptic number.

20013000 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 20013000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35717760).

20013000 is an abundant number, since it is smaller than the sum of its proper divisors (51422520).

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

20013000 is a wasteful number, since it uses less digits than its factorization.

20013000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 984 (or 970 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 6.

The square root of 20013000 is about 4473.5891630770. The cubic root of 20013000 is about 271.5005613031.

Adding to 20013000 its reverse (31002), we get a palindrome (20044002).

The spelling of 20013000 in words is "twenty million, thirteen thousand".