131040000 has 540 divisors, whose sum is σ = 581076496. Its totient is φ = 27648000.

The previous prime is 131039989. The next prime is 131040023. The reversal of 131040000 is 40131.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a zygodrome in base 2.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 10079994 + ... + 10080006.

Almost surely, 2^131040000 is an apocalyptic number.

131040000 is a gapful number since it is divisible by the number (10) 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 131040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290538248).

131040000 is an abundant number, since it is smaller than the sum of its proper divisors (450036496).

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

131040000 is an equidigital number, since it uses as much as digits as its factorization.

131040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 131040000 is about 11447.2704170033. The cubic root of 131040000 is about 507.9269946962.

Adding to 131040000 its reverse (40131), we get a palindrome (131080131).

Multiplying 131040000 by its reverse (40131), we get a square (5258766240000 = 2293200²).

The spelling of 131040000 in words is "one hundred thirty-one million, forty thousand".