131003730 has 288 divisors, whose sum is σ = 431645760. Its totient is φ = 28304640.

The previous prime is 131003729. The next prime is 131003749. The reversal of 131003730 is 37300131.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4517356 + ... + 4517384.

It is an arithmetic number, because the mean of its divisors is an integer number (1498770).

Almost surely, 2^131003730 is an apocalyptic number.

131003730 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 131003730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215822880).

131003730 is an abundant number, since it is smaller than the sum of its proper divisors (300642030).

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

131003730 is a wasteful number, since it uses less digits than its factorization.

131003730 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 189, while the sum is 18.

The square root of 131003730 is about 11445.6860869063. The cubic root of 131003730 is about 507.8801280599.

Adding to 131003730 its reverse (37300131), we get a palindrome (168303861).

The spelling of 131003730 in words is "one hundred thirty-one million, three thousand, seven hundred thirty".