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131038081 is a prime number
BaseRepresentation
bin1111100111101…
…11101110000001
3100010120102110021
413303313232001
5232021204311
621000333441
73150543136
oct763675601
9303512407
10131038081
1167a70939
1237a74281
13211c0135
141359058d
15b786171
hex7cf7b81

131038081 has 2 divisors, whose sum is σ = 131038082. Its totient is φ = 131038080.

The previous prime is 131038073. The next prime is 131038087. The reversal of 131038081 is 180830131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 116445681 + 14592400 = 10791^2 + 3820^2 .

It is a cyclic number.

It is not a de Polignac number, because 131038081 - 23 = 131038073 is a prime.

It is a super-2 number, since 2×1310380812 = 34341957344325122, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (131038087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65519040 + 65519041.

It is an arithmetic number, because the mean of its divisors is an integer number (65519041).

Almost surely, 2131038081 is an apocalyptic number.

It is an amenable number.

131038081 is a deficient number, since it is larger than the sum of its proper divisors (1).

131038081 is an equidigital number, since it uses as much as digits as its factorization.

131038081 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 576, while the sum is 25.

The square root of 131038081 is about 11447.1865975881. The cubic root of 131038081 is about 507.9245152582.

The spelling of 131038081 in words is "one hundred thirty-one million, thirty-eight thousand, eighty-one".