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131107213 = 1753145513
BaseRepresentation
bin1111101000010…
…00100110001101
3100010200221021201
413310020212031
5232030412323
621002025501
73151251526
oct764104615
9303627251
10131107213
1168008876
1237aa8291
1321215743
14135ab84d
15b79b8ad
hex7d0898d

131107213 has 8 divisors (see below), whose sum is σ = 141439608. Its totient is φ = 121065984.

The previous prime is 131107211. The next prime is 131107241. The reversal of 131107213 is 312701131.

It can be written as a sum of positive squares in 4 ways, for example, as 48260809 + 82846404 = 6947^2 + 9102^2 .

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 131107213 - 21 = 131107211 is a prime.

It is a super-3 number, since 3×1311072133 (a number of 25 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131107211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 71856 + ... + 73657.

It is an arithmetic number, because the mean of its divisors is an integer number (17679951).

Almost surely, 2131107213 is an apocalyptic number.

It is an amenable number.

131107213 is a deficient number, since it is larger than the sum of its proper divisors (10332395).

131107213 is a wasteful number, since it uses less digits than its factorization.

131107213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145583.

The product of its (nonzero) digits is 126, while the sum is 19.

The square root of 131107213 is about 11450.2058060107. The cubic root of 131107213 is about 508.0138217766.

Adding to 131107213 its reverse (312701131), we get a palindrome (443808344).

The spelling of 131107213 in words is "one hundred thirty-one million, one hundred seven thousand, two hundred thirteen".

Divisors: 1 17 53 901 145513 2473721 7712189 131107213