131124314500 has 48 divisors (see below), whose sum is σ = 287112112560. Its totient is φ = 52314816000.

The previous prime is 131124314483. The next prime is 131124314513. The reversal of 131124314500 is 5413421131.

It can be written as a sum of positive squares in 8 ways, for example, as 101567140416 + 29557174084 = 318696^2 + 171922^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

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 15 ways as a sum of consecutive naturals, for example, 142581 + ... + 531580.

It is an arithmetic number, because the mean of its divisors is an integer number (5981502345).

Almost surely, 2^131124314500 is an apocalyptic number.

131124314500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131124314500 is an abundant number, since it is smaller than the sum of its proper divisors (155987798060).

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

131124314500 is a wasteful number, since it uses less digits than its factorization.

131124314500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 674569 (or 674557 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

Adding to 131124314500 its reverse (5413421131), we get a palindrome (136537735631).

The spelling of 131124314500 in words is "one hundred thirty-one billion, one hundred twenty-four million, three hundred fourteen thousand, five hundred".