20001300 has 216 divisors, whose sum is σ = 69266400. Its totient is φ = 4435200.

The previous prime is 20001277. The next prime is 20001301. The reversal of 20001300 is 310002.

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 (20001301) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 689686 + ... + 689714.

Almost surely, 2^20001300 is an apocalyptic number.

20001300 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 20001300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34633200).

20001300 is an abundant number, since it is smaller than the sum of its proper divisors (49265100).

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

20001300 is a wasteful number, since it uses less digits than its factorization.

20001300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 69 counting only the distinct ones).

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

The square root of 20001300 is about 4472.2812970563. The cubic root of 20001300 is about 271.4476427702.

Adding to 20001300 its reverse (310002), we get a palindrome (20311302).

It can be divided in two parts, 20001 and 300, that added together give a triangular number (20301 = T₂₀₁).

The spelling of 20001300 in words is "twenty million, one thousand, three hundred".