131010048 has 200 divisors, whose sum is σ = 422842728. Its totient is φ = 40310784.

The previous prime is 131010037. The next prime is 131010071. The reversal of 131010048 is 840010131.

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

It is a nialpdrome in base 6.

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 131010048.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 10077690 + ... + 10077702.

Almost surely, 2^131010048 is an apocalyptic number.

131010048 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 131010048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211421364).

131010048 is an abundant number, since it is smaller than the sum of its proper divisors (291832680).

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

131010048 is an frugal number, since it uses more digits than its factorization.

131010048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58 (or 18 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 131010048 is about 11445.9620827609. The cubic root of 131010048 is about 507.8882925477. Note that the first 3 decimals are identical.

Adding to 131010048 its reverse (840010131), we get a palindrome (971020179).

The spelling of 131010048 in words is "one hundred thirty-one million, ten thousand, forty-eight".