131051088 has 240 divisors, whose sum is σ = 451221120. Its totient is φ = 36288000.

The previous prime is 131051071. The next prime is 131051093. The reversal of 131051088 is 880150131.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 867813 + ... + 867963.

It is an arithmetic number, because the mean of its divisors is an integer number (1880088).

Almost surely, 2^131051088 is an apocalyptic number.

131051088 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 131051088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225610560).

131051088 is an abundant number, since it is smaller than the sum of its proper divisors (320170032).

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

131051088 is a wasteful number, since it uses less digits than its factorization.

131051088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 27.

The square root of 131051088 is about 11447.7547143534. The cubic root of 131051088 is about 507.9413204381.

The spelling of 131051088 in words is "one hundred thirty-one million, fifty-one thousand, eighty-eight".