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131337181 is a prime number
BaseRepresentation
bin1111101010000…
…00101111011101
3100011010121202001
413311000233131
5232110242211
621011002301
73153230143
oct765005735
9304117661
10131337181
1168155628
1237b99391
1321296311
141362b593
15b7e4ac1
hex7d40bdd

131337181 has 2 divisors, whose sum is σ = 131337182. Its totient is φ = 131337180.

The previous prime is 131337163. The next prime is 131337277. The reversal of 131337181 is 181733131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 123965956 + 7371225 = 11134^2 + 2715^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-131337181 is a prime.

It is a super-2 number, since 2×1313371812 = 34498910226053522, which contains 22 as substring.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (131337281) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65668590 + 65668591.

It is an arithmetic number, because the mean of its divisors is an integer number (65668591).

Almost surely, 2131337181 is an apocalyptic number.

It is an amenable number.

131337181 is a deficient number, since it is larger than the sum of its proper divisors (1).

131337181 is an equidigital number, since it uses as much as digits as its factorization.

131337181 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1512, while the sum is 28.

The square root of 131337181 is about 11460.2434965406. The cubic root of 131337181 is about 508.3106747104.

The spelling of 131337181 in words is "one hundred thirty-one million, three hundred thirty-seven thousand, one hundred eighty-one".