10001300 has 36 divisors (see below), whose sum is σ = 21936096. Its totient is φ = 3957600.

The previous prime is 10001281. The next prime is 10001311. The reversal of 10001300 is 310001.

It is a Harshad number since it is a multiple of its sum of digits (5).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9815 + ... + 10785.

It is an arithmetic number, because the mean of its divisors is an integer number (609336).

Almost surely, 2^10001300 is an apocalyptic number.

10001300 is a gapful number since it is divisible by the number (10) 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 10001300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10968048).

10001300 is an abundant number, since it is smaller than the sum of its proper divisors (11934796).

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

10001300 is a wasteful number, since it uses less digits than its factorization.

10001300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1088 (or 1081 counting only the distinct ones).

The product of its (nonzero) digits is 3, while the sum is 5.

The square root of 10001300 is about 3162.4832015364. The cubic root of 10001300 is about 215.4528044823.

Adding to 10001300 its reverse (310001), we get a palindrome (10311301).

It can be divided in two parts, 10001 and 300, that added together give a palindrome (10301).

The spelling of 10001300 in words is "ten million, one thousand, three hundred".