13135122 has 144 divisors (see below), whose sum is σ = 39678912. Its totient is φ = 3149280.

The previous prime is 13135117. The next prime is 13135127. The reversal of 13135122 is 22153131.

It is an interprime number because it is at equal distance from previous prime (13135117) and next prime (13135127).

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

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

Its product of digits (180) is a multiple of the sum of its prime divisors (36).

It is a junction number, because it is equal to n+sod(n) for n = 13135095 and 13135104.

It is not an unprimeable number, because it can be changed into a prime (13135127) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1010388 + ... + 1010400.

It is an arithmetic number, because the mean of its divisors is an integer number (275548).

Almost surely, 2^13135122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13135122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19839456).

13135122 is an abundant number, since it is smaller than the sum of its proper divisors (26543790).

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

13135122 is an equidigital number, since it uses as much as digits as its factorization.

13135122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57 (or 36 counting only the distinct ones).

The product of its digits is 180, while the sum is 18.

The square root of 13135122 is about 3624.2408860339. The cubic root of 13135122 is about 235.9453215278.

Adding to 13135122 its reverse (22153131), we get a palindrome (35288253).

Subtracting 13135122 from its reverse (22153131), we obtain a square (9018009 = 3003²).

It can be divided in two parts, 131 and 35122, that added together give a palindrome (35253).

The spelling of 13135122 in words is "thirteen million, one hundred thirty-five thousand, one hundred twenty-two".