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131022852601 is a prime number
BaseRepresentation
bin111101000000110010…
…0100001000111111001
3110112012012121112121111
41322001210201013321
54121313322240401
6140105134240321
712315603604624
oct1720144410771
9415165545544
10131022852601
1150625a91463
12214873560a1
13c480a83664
1464ad284dbb
15361ca5ae51
hex1e819211f9

131022852601 has 2 divisors, whose sum is σ = 131022852602. Its totient is φ = 131022852600.

The previous prime is 131022852599. The next prime is 131022852607. The reversal of 131022852601 is 106258220131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 118394487225 + 12628365376 = 344085^2 + 112376^2 .

It is a cyclic number.

It is not a de Polignac number, because 131022852601 - 21 = 131022852599 is a prime.

Together with 131022852599, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (131022852607) 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, 65511426300 + 65511426301.

It is an arithmetic number, because the mean of its divisors is an integer number (65511426301).

Almost surely, 2131022852601 is an apocalyptic number.

It is an amenable number.

131022852601 is a deficient number, since it is larger than the sum of its proper divisors (1).

131022852601 is an equidigital number, since it uses as much as digits as its factorization.

131022852601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5760, while the sum is 31.

The spelling of 131022852601 in words is "one hundred thirty-one billion, twenty-two million, eight hundred fifty-two thousand, six hundred one".