13131040000 has 360 divisors, whose sum is σ = 36205535520. Its totient is φ = 4721664000.

The previous prime is 13131039979. The next prime is 13131040003. The reversal of 13131040000 is 4013131.

It is a super-2 number, since 2×13131040000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13131040003) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 122719947 + ... + 122720053.

It is an arithmetic number, because the mean of its divisors is an integer number (100570932).

Almost surely, 2^13131040000 is an apocalyptic number.

13131040000 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 13131040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18102767760).

13131040000 is an abundant number, since it is smaller than the sum of its proper divisors (23074495520).

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

13131040000 is an equidigital number, since it uses as much as digits as its factorization.

13131040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 13131040000 its reverse (4013131), we get a palindrome (13135053131).

The spelling of 13131040000 in words is "thirteen billion, one hundred thirty-one million, forty thousand".