131003040 has 192 divisors, whose sum is σ = 476872704. Its totient is φ = 29611008.

The previous prime is 131003027. The next prime is 131003107. The reversal of 131003040 is 40300131.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 426567 + ... + 426873.

It is an arithmetic number, because the mean of its divisors is an integer number (2483712).

Almost surely, 2^131003040 is an apocalyptic number.

131003040 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 131003040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238436352).

131003040 is an abundant number, since it is smaller than the sum of its proper divisors (345869664).

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

131003040 is a wasteful number, since it uses less digits than its factorization.

131003040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 459 (or 451 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 131003040 is about 11445.6559445058. The cubic root of 131003040 is about 507.8792363858.

Adding to 131003040 its reverse (40300131), we get a palindrome (171303171).

The spelling of 131003040 in words is "one hundred thirty-one million, three thousand, forty".