13142100 has 72 divisors (see below), whose sum is σ = 38622528. Its totient is φ = 3449600.

The previous prime is 13142083. The next prime is 13142111. The reversal of 13142100 is 124131.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a nialpdrome in base 16.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20992 + ... + 21608.

It is an arithmetic number, because the mean of its divisors is an integer number (536424).

Almost surely, 2^13142100 is an apocalyptic number.

13142100 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 13142100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19311264).

13142100 is an abundant number, since it is smaller than the sum of its proper divisors (25480428).

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

13142100 is a wasteful number, since it uses less digits than its factorization.

13142100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 705 (or 698 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 13142100 is about 3625.2034425671. The cubic root of 13142100 is about 235.9870959142.

Adding to 13142100 its reverse (124131), we get a palindrome (13266231).

The spelling of 13142100 in words is "thirteen million, one hundred forty-two thousand, one hundred".