131000753 has 8 divisors (see below), whose sum is σ = 141167208. Its totient is φ = 120847104.

The previous prime is 131000719. The next prime is 131000767. The reversal of 131000753 is 357000131.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 652864 + 130347889 = 808^2 + 11417^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 131000753 - 2¹⁸ = 130738609 is a prime.

It is a super-3 number, since 3×131000753³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (131000713) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 35051 + ... + 38607.

It is an arithmetic number, because the mean of its divisors is an integer number (17645901).

Almost surely, 2^131000753 is an apocalyptic number.

131000753 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

131000753 is a deficient number, since it is larger than the sum of its proper divisors (10166455).

131000753 is a wasteful number, since it uses less digits than its factorization.

131000753 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6403.

The product of its (nonzero) digits is 315, while the sum is 20.

The square root of 131000753 is about 11445.5560371701. The cubic root of 131000753 is about 507.8762809160.

Adding to 131000753 its reverse (357000131), we get a palindrome (488000884).

The spelling of 131000753 in words is "one hundred thirty-one million, seven hundred fifty-three", and thus it is an aban number.