13101313000 has 96 divisors (see below), whose sum is σ = 31680235080. Its totient is φ = 5071104000.

The previous prime is 13101312997. The next prime is 13101313021. The reversal of 13101313000 is 31310131.

It is a happy number.

13101313000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 5163572164 + 7937740836 = 71858^2 + 89094^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 954184 + ... + 967816.

Almost surely, 2^13101313000 is an apocalyptic number.

13101313000 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 13101313000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15840117540).

13101313000 is an abundant number, since it is smaller than the sum of its proper divisors (18578922080).

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

13101313000 is a wasteful number, since it uses less digits than its factorization.

13101313000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13716 (or 13671 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 13.

Adding to 13101313000 its reverse (31310131), we get a palindrome (13132623131).

It can be divided in two parts, 1310131 and 3000, that added together give a palindrome (1313131).

The spelling of 13101313000 in words is "thirteen billion, one hundred one million, three hundred thirteen thousand".