13131010000 has 100 divisors (see below), whose sum is σ = 32108725044. Its totient is φ = 5200000000.

The previous prime is 13131009979. The next prime is 13131010003. The reversal of 13131010000 is 1013131.

It can be written as a sum of positive squares in 10 ways, for example, as 10566195264 + 2564814736 = 102792^2 + 50644^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13131010003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1003500 + ... + 1016500.

Almost surely, 2^13131010000 is an apocalyptic number.

13131010000 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 13131010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16054362522).

13131010000 is an abundant number, since it is smaller than the sum of its proper divisors (18977715044).

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

13131010000 is a wasteful number, since it uses less digits than its factorization.

13131010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13130 (or 13109 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 10.

Adding to 13131010000 its reverse (1013131), we get a palindrome (13132023131).

The spelling of 13131010000 in words is "thirteen billion, one hundred thirty-one million, ten thousand".