131634113 has 8 divisors (see below), whose sum is σ = 141862056. Its totient is φ = 121420800.

The previous prime is 131634079. The next prime is 131634119. The reversal of 131634113 is 311436131.

It can be written as a sum of positive squares in 4 ways, for example, as 485809 + 131148304 = 697^2 + 11452^2 .

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 131634113 - 2⁸ = 131633857 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (131634119) 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, 21473 + ... + 26913.

It is an arithmetic number, because the mean of its divisors is an integer number (17732757).

Almost surely, 2^131634113 is an apocalyptic number.

131634113 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

131634113 is a deficient number, since it is larger than the sum of its proper divisors (10227943).

131634113 is a wasteful number, since it uses less digits than its factorization.

131634113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7315.

The product of its digits is 648, while the sum is 23.

The square root of 131634113 is about 11473.1910556741. The cubic root of 131634113 is about 508.6934556342.

The spelling of 131634113 in words is "one hundred thirty-one million, six hundred thirty-four thousand, one hundred thirteen".