13114600 has 48 divisors (see below), whose sum is σ = 31828320. Its totient is φ = 5016000.

The previous prime is 13114597. The next prime is 13114603. The reversal of 13114600 is 641131.

It is an interprime number because it is at equal distance from previous prime (13114597) and next prime (13114603).

It is not an unprimeable number, because it can be changed into a prime (13114603) 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, 3175 + ... + 6025.

It is an arithmetic number, because the mean of its divisors is an integer number (663090).

Almost surely, 2^13114600 is an apocalyptic number.

13114600 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 13114600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15914160).

13114600 is an abundant number, since it is smaller than the sum of its proper divisors (18713720).

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

13114600 is a wasteful number, since it uses less digits than its factorization.

13114600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2890 (or 2881 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 13114600 is about 3621.4085657379. The cubic root of 13114600 is about 235.8223790384.

Adding to 13114600 its reverse (641131), we get a palindrome (13755731).

The spelling of 13114600 in words is "thirteen million, one hundred fourteen thousand, six hundred".