13140100 has 36 divisors (see below), whose sum is σ = 28818468. Its totient is φ = 5200000.

The previous prime is 13140089. The next prime is 13140109. The reversal of 13140100 is 104131.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 636804 + 12503296 = 798^2 + 3536^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13140109) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9450 + ... + 10750.

It is an arithmetic number, because the mean of its divisors is an integer number (800513).

Almost surely, 2^13140100 is an apocalyptic number.

13140100 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 13140100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14409234).

13140100 is an abundant number, since it is smaller than the sum of its proper divisors (15678368).

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

13140100 is a wasteful number, since it uses less digits than its factorization.

13140100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1416 (or 1409 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 13140100 is about 3624.9275854836. The cubic root of 13140100 is about 235.9751242573.

Adding to 13140100 its reverse (104131), we get a palindrome (13244231).

The spelling of 13140100 in words is "thirteen million, one hundred forty thousand, one hundred".