13135226346 has 96 divisors (see below), whose sum is σ = 31500031680. Its totient is φ = 3922656000.

The previous prime is 13135226257. The next prime is 13135226359. The reversal of 13135226346 is 64362253131.

13135226346 is a `hidden beast` number, since 1 + 3 + 1 + 352 + 263 + 46 = 666.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 13135226346.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4658125 + ... + 4660943.

It is an arithmetic number, because the mean of its divisors is an integer number (328125330).

Almost surely, 2^13135226346 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13135226346, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15750015840).

13135226346 is an abundant number, since it is smaller than the sum of its proper divisors (18364805334).

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

13135226346 is a wasteful number, since it uses less digits than its factorization.

13135226346 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3172 (or 3169 counting only the distinct ones).

The product of its digits is 77760, while the sum is 36.

Adding to 13135226346 its reverse (64362253131), we get a palindrome (77497479477).

The spelling of 13135226346 in words is "thirteen billion, one hundred thirty-five million, two hundred twenty-six thousand, three hundred forty-six".