13134410000 has 100 divisors (see below), whose sum is σ = 31873394124. Its totient is φ = 5241600000.

The previous prime is 13134409997. The next prime is 13134410053. The reversal of 13134410000 is 1443131.

It can be written as a sum of positive squares in 10 ways, for example, as 13132243216 + 2166784 = 114596^2 + 1472^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5208740 + ... + 5211260.

Almost surely, 2^13134410000 is an apocalyptic number.

13134410000 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 13134410000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15936697062).

13134410000 is an abundant number, since it is smaller than the sum of its proper divisors (18738984124).

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

13134410000 is an equidigital number, since it uses as much as digits as its factorization.

13134410000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3070 (or 3049 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 13134410000 its reverse (1443131), we get a palindrome (13135853131).

The spelling of 13134410000 in words is "thirteen billion, one hundred thirty-four million, four hundred ten thousand".