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131631133 is a prime number
BaseRepresentation
bin1111101100010…
…00100000011101
3100011200112222011
413312020200131
5232144144013
621021151221
73155563144
oct766104035
9304615864
10131631133
1168336467
12380bb511
132136a05a
14136a675b
15b851c3d
hex7d8881d

131631133 has 2 divisors, whose sum is σ = 131631134. Its totient is φ = 131631132.

The previous prime is 131631131. The next prime is 131631173. The reversal of 131631133 is 331136131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 98763844 + 32867289 = 9938^2 + 5733^2 .

It is a cyclic number.

It is not a de Polignac number, because 131631133 - 21 = 131631131 is a prime.

Together with 131631131, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (131631131) 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 as a sum of consecutive naturals, namely, 65815566 + 65815567.

It is an arithmetic number, because the mean of its divisors is an integer number (65815567).

Almost surely, 2131631133 is an apocalyptic number.

It is an amenable number.

131631133 is a deficient number, since it is larger than the sum of its proper divisors (1).

131631133 is an equidigital number, since it uses as much as digits as its factorization.

131631133 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 486, while the sum is 22.

The square root of 131631133 is about 11473.0611869719. The cubic root of 131631133 is about 508.6896169181.

Adding to 131631133 its reverse (331136131), we get a palindrome (462767264).

The spelling of 131631133 in words is "one hundred thirty-one million, six hundred thirty-one thousand, one hundred thirty-three".