13107150 has 192 divisors, whose sum is σ = 44044800. Its totient is φ = 2799360.

The previous prime is 13107137. The next prime is 13107151. The reversal of 13107150 is 5170131.

It is a happy number.

13107150 is nontrivially palindromic in base 8.

It is a super-2 number, since 2×13107150² = 343594762245000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13107151) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 179514 + ... + 179586.

It is an arithmetic number, because the mean of its divisors is an integer number (229400).

Almost surely, 2^13107150 is an apocalyptic number.

13107150 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13107150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22022400).

13107150 is an abundant number, since it is smaller than the sum of its proper divisors (30937650).

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

13107150 is a wasteful number, since it uses less digits than its factorization.

13107150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 105, while the sum is 18.

The square root of 13107150 is about 3620.3798143289. The cubic root of 13107150 is about 235.7777161054. Note that the first 4 decimals are identical.

Adding to 13107150 its reverse (5170131), we get a palindrome (18277281).

The spelling of 13107150 in words is "thirteen million, one hundred seven thousand, one hundred fifty".