131001031248 has 160 divisors (see below), whose sum is σ = 349777612800. Its totient is φ = 42227028480.

The previous prime is 131001031247. The next prime is 131001031267. The reversal of 131001031248 is 842130100131.

It is a super-2 number, since 2×131001031248² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131001031247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 70925461 + ... + 70927307.

It is an arithmetic number, because the mean of its divisors is an integer number (2186110080).

Almost surely, 2^131001031248 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131001031248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174888806400).

131001031248 is an abundant number, since it is smaller than the sum of its proper divisors (218776581552).

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

131001031248 is a wasteful number, since it uses less digits than its factorization.

131001031248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2265 (or 2259 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

Adding to 131001031248 its reverse (842130100131), we get a palindrome (973131131379).

The spelling of 131001031248 in words is "one hundred thirty-one billion, one million, thirty-one thousand, two hundred forty-eight".