20130000 has 200 divisors, whose sum is σ = 72051936. Its totient is φ = 4800000.

The previous prime is 20129999. The next prime is 20130001. The reversal of 20130000 is 3102.

It is an interprime number because it is at equal distance from previous prime (20129999) and next prime (20130001).

It is a tau number, because it is divible by the number of its divisors (200).

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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (20130001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 329970 + ... + 330030.

Almost surely, 2^20130000 is an apocalyptic number.

20130000 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 20130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36025968).

20130000 is an abundant number, since it is smaller than the sum of its proper divisors (51921936).

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

20130000 is a wasteful number, since it uses less digits than its factorization.

20130000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 82 counting only the distinct ones).

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

The square root of 20130000 is about 4486.6468548349. The cubic root of 20130000 is about 272.0286157898.

Adding to 20130000 its reverse (3102), we get a palindrome (20133102).

The spelling of 20130000 in words is "twenty million, one hundred thirty thousand".