13040100 has 54 divisors (see below), whose sum is σ = 40876290. Its totient is φ = 3477120.

The previous prime is 13040089. The next prime is 13040101. The reversal of 13040100 is 104031.

It can be written as a sum of positive squares in 3 ways, for example, as 36864 + 13003236 = 192^2 + 3606^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (13040101) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 6345 + ... + 8144.

Almost surely, 2^13040100 is an apocalyptic number.

13040100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13040100 is an abundant number, since it is smaller than the sum of its proper divisors (27836190).

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

13040100 is a wasteful number, since it uses less digits than its factorization.

13040100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14509 (or 14499 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 13040100 is about 3611.1078632464. The cubic root of 13040100 is about 235.3749860511.

Adding to 13040100 its reverse (104031), we get a palindrome (13144131).

The spelling of 13040100 in words is "thirteen million, forty thousand, one hundred".