13131225000 has 288 divisors, whose sum is σ = 47080346040. Its totient is φ = 3294720000.

The previous prime is 13131224989. The next prime is 13131225043. The reversal of 13131225000 is 52213131.

13131225000 is a `hidden beast` number, since 13 + 131 + 22 + 500 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 5268146724 + 7863078276 = 72582^2 + 88674^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3823284 + ... + 3826716.

Almost surely, 2^13131225000 is an apocalyptic number.

13131225000 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 13131225000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23540173020).

13131225000 is an abundant number, since it is smaller than the sum of its proper divisors (33949121040).

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

13131225000 is a wasteful number, since it uses less digits than its factorization.

13131225000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3487 (or 3460 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

Adding to 13131225000 its reverse (52213131), we get a palindrome (13183438131).

The spelling of 13131225000 in words is "thirteen billion, one hundred thirty-one million, two hundred twenty-five thousand".