131753101 has 8 divisors (see below), whose sum is σ = 134465400. Its totient is φ = 129065472.

The previous prime is 131753081. The next prime is 131753113. The reversal of 131753101 is 101357131.

It can be written as a sum of positive squares in 4 ways, for example, as 1565001 + 130188100 = 1251^2 + 11410^2 .

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 131753101 - 2²¹ = 129655949 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131753191) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4821 + ... + 16933.

It is an arithmetic number, because the mean of its divisors is an integer number (16808175).

Almost surely, 2^131753101 is an apocalyptic number.

It is an amenable number.

131753101 is a deficient number, since it is larger than the sum of its proper divisors (2712299).

131753101 is a wasteful number, since it uses less digits than its factorization.

131753101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12335.

The product of its (nonzero) digits is 315, while the sum is 22.

The square root of 131753101 is about 11478.3753641358. The cubic root of 131753101 is about 508.8466838687.

The spelling of 131753101 in words is "one hundred thirty-one million, seven hundred fifty-three thousand, one hundred one".