131130150400 has 120 divisors (see below), whose sum is σ = 331799165280. Its totient is φ = 51335823360.

The previous prime is 131130150379. The next prime is 131130150407. The reversal of 131130150400 is 4051031131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131130150407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 492616 + ... + 710584.

It is an arithmetic number, because the mean of its divisors is an integer number (2764993044).

Almost surely, 2^131130150400 is an apocalyptic number.

131130150400 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 131130150400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165899582640).

131130150400 is an abundant number, since it is smaller than the sum of its proper divisors (200669014880).

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

131130150400 is an equidigital number, since it uses as much as digits as its factorization.

131130150400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218044 (or 218023 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 19.

Adding to 131130150400 its reverse (4051031131), we get a palindrome (135181181531).

The spelling of 131130150400 in words is "one hundred thirty-one billion, one hundred thirty million, one hundred fifty thousand, four hundred".