13006900 has 18 divisors (see below), whose sum is σ = 28225190. Its totient is φ = 5202720.

The previous prime is 13006897. The next prime is 13006907. The reversal of 13006900 is 960031.

13006900 = T₂₅₆ + T₂₅₇ + ... + T₄₅₅.

It can be written as a sum of positive squares in 3 ways, for example, as 1971216 + 11035684 = 1404^2 + 3322^2 .

It is a super-2 number, since 2×13006900² = 338358895220000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13006907) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 64935 + ... + 65134.

Almost surely, 2^13006900 is an apocalyptic number.

13006900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13006900 is an abundant number, since it is smaller than the sum of its proper divisors (15218290).

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

13006900 is a wasteful number, since it uses less digits than its factorization.

13006900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130083 (or 130076 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 19.

The square root of 13006900 is about 3606.5080063685. The cubic root of 13006900 is about 235.1750619509.

Adding to 13006900 its reverse (960031), we get a palindrome (13966931).

The spelling of 13006900 in words is "thirteen million, six thousand, nine hundred".