131243701248 has 462 divisors, whose sum is σ = 432667278722. Its totient is φ = 39743447040.

The previous prime is 131243701241. The next prime is 131243701261. The reversal of 131243701248 is 842107342131.

It can be written as a sum of positive squares in only one way, i.e., 130430767104 + 812934144 = 361152^2 + 28512^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131243701241) 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 41 ways as a sum of consecutive naturals, for example, 90325290 + ... + 90326742.

Almost surely, 2^131243701248 is an apocalyptic number.

131243701248 is a gapful number since it is divisible by the number (18) 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 131243701248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216333639361).

131243701248 is an abundant number, since it is smaller than the sum of its proper divisors (301423577474).

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

131243701248 is an equidigital number, since it uses as much as digits as its factorization.

131243701248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1513 (or 1469 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 131243701248 in words is "one hundred thirty-one billion, two hundred forty-three million, seven hundred one thousand, two hundred forty-eight".