131132752128 has 432 divisors, whose sum is σ = 450034445952. Its totient is φ = 35942400000.

The previous prime is 131132752123. The next prime is 131132752133. The reversal of 131132752128 is 821257231131.

131132752128 is a `hidden beast` number, since 1 + 311 + 327 + 5 + 2 + 12 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (131132752123) and next prime (131132752133).

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

It is a junction number, because it is equal to n+sod(n) for n = 131132752092 and 131132752101.

It is not an unprimeable number, because it can be changed into a prime (131132752123) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 40334503 + ... + 40337753.

Almost surely, 2^131132752128 is an apocalyptic number.

131132752128 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 131132752128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225017222976).

131132752128 is an abundant number, since it is smaller than the sum of its proper divisors (318901693824).

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

131132752128 is a wasteful number, since it uses less digits than its factorization.

131132752128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3382 (or 3365 counting only the distinct ones).

The product of its digits is 20160, while the sum is 36.

Adding to 131132752128 its reverse (821257231131), we get a palindrome (952389983259).

The spelling of 131132752128 in words is "one hundred thirty-one billion, one hundred thirty-two million, seven hundred fifty-two thousand, one hundred twenty-eight".