131271928128 has 672 divisors, whose sum is σ = 449424917760. Its totient is φ = 37936926720.

The previous prime is 131271928121. The next prime is 131271928129. The reversal of 131271928128 is 821829172131.

It is a super-2 number, since 2×131271928128² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131271928121) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 389530776 + ... + 389531112.

It is an arithmetic number, because the mean of its divisors is an integer number (668787080).

Almost surely, 2^131271928128 is an apocalyptic number.

131271928128 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 131271928128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224712458880).

131271928128 is an abundant number, since it is smaller than the sum of its proper divisors (318152989632).

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

131271928128 is an equidigital number, since it uses as much as digits as its factorization.

131271928128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415 (or 376 counting only the distinct ones).

The product of its digits is 96768, while the sum is 45.

The spelling of 131271928128 in words is "one hundred thirty-one billion, two hundred seventy-one million, nine hundred twenty-eight thousand, one hundred twenty-eight".