10013100 has 36 divisors (see below), whose sum is σ = 28972104. Its totient is φ = 2670080.

The previous prime is 10013077. The next prime is 10013111. The reversal of 10013100 is 131001.

It is a super-2 number, since 2×10013100² = 200524343220000, which contains 22 as substring.

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 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, 16389 + ... + 16988.

Almost surely, 2^10013100 is an apocalyptic number.

10013100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10013100 is an abundant number, since it is smaller than the sum of its proper divisors (18959004).

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

10013100 is a wasteful number, since it uses less digits than its factorization.

10013100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33394 (or 33387 counting only the distinct ones).

The product of its (nonzero) digits is 3, while the sum is 6.

The square root of 10013100 is about 3164.3482741317. The cubic root of 10013100 is about 215.5375049342.

Adding to 10013100 its reverse (131001), we get a palindrome (10144101).

The spelling of 10013100 in words is "ten million, thirteen thousand, one hundred".