13135441000 has 256 divisors, whose sum is σ = 37382342400. Its totient is φ = 4257792000.

The previous prime is 13135440973. The next prime is 13135441021. The reversal of 13135441000 is 14453131.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3551152 + ... + 3554848.

It is an arithmetic number, because the mean of its divisors is an integer number (146024775).

Almost surely, 2^13135441000 is an apocalyptic number.

13135441000 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 13135441000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18691171200).

13135441000 is an abundant number, since it is smaller than the sum of its proper divisors (24246901400).

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

13135441000 is a wasteful number, since it uses less digits than its factorization.

13135441000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3765 (or 3751 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

Adding to 13135441000 its reverse (14453131), we get a palindrome (13149894131).

The spelling of 13135441000 in words is "thirteen billion, one hundred thirty-five million, four hundred forty-one thousand".