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131313121 is a prime number
BaseRepresentation
bin1111101001110…
…10110111100001
3100011002101201221
413310322313201
5232104004441
621010255041
73153100042
oct764726741
9304071657
10131313121
1168139545
1237b87481
1321288394
14136228c9
15b7dc8d1
hex7d3ade1

131313121 has 2 divisors, whose sum is σ = 131313122. Its totient is φ = 131313120.

The previous prime is 131313113. The next prime is 131313137. The reversal of 131313121 is 121313131.

It is an a-pointer prime, because the next prime (131313137) can be obtained adding 131313121 to its sum of digits (16).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 130850721 + 462400 = 11439^2 + 680^2 .

It is a cyclic number.

It is not a de Polignac number, because 131313121 - 23 = 131313113 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 131313095 and 131313104.

It is not a weakly prime, because it can be changed into another prime (131313191) 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, 65656560 + 65656561.

It is an arithmetic number, because the mean of its divisors is an integer number (65656561).

Almost surely, 2131313121 is an apocalyptic number.

It is an amenable number.

131313121 is a deficient number, since it is larger than the sum of its proper divisors (1).

131313121 is an equidigital number, since it uses as much as digits as its factorization.

131313121 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 54, while the sum is 16.

The square root of 131313121 is about 11459.1937325451. The cubic root of 131313121 is about 508.2796332297.

Adding to 131313121 its reverse (121313131), we get a palindrome (252626252).

The spelling of 131313121 in words is "one hundred thirty-one million, three hundred thirteen thousand, one hundred twenty-one".