13153100 has 36 divisors (see below), whose sum is σ = 28841904. Its totient is φ = 5206080.

The previous prime is 13153097. The next prime is 13153109. The reversal of 13153100 is 135131.

It is a super-2 number, since 2×13153100² = 346008079220000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13153109) 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 11 ways as a sum of consecutive naturals, for example, 9662 + ... + 10938.

It is an arithmetic number, because the mean of its divisors is an integer number (801164).

Almost surely, 2^13153100 is an apocalyptic number.

13153100 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 13153100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14420952).

13153100 is an abundant number, since it is smaller than the sum of its proper divisors (15688804).

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

13153100 is a wasteful number, since it uses less digits than its factorization.

13153100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1394 (or 1387 counting only the distinct ones).

The product of its (nonzero) digits is 45, while the sum is 14.

The square root of 13153100 is about 3626.7202814664. The cubic root of 13153100 is about 236.0529183257.

Adding to 13153100 its reverse (135131), we get a palindrome (13288231).

The spelling of 13153100 in words is "thirteen million, one hundred fifty-three thousand, one hundred".