131054101 has 2 divisors, whose sum is σ = 131054102. Its totient is φ = 131054100.

The previous prime is 131054087. The next prime is 131054117. The reversal of 131054101 is 101450131.

It is an a-pointer prime, because the next prime (131054117) can be obtained adding 131054101 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., 113422500 + 17631601 = 10650^2 + 4199^2 .

It is an emirp because it is prime and its reverse (101450131) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 131054101 - 2⁷ = 131053973 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (131054171) 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, 65527050 + 65527051.

It is an arithmetic number, because the mean of its divisors is an integer number (65527051).

Almost surely, 2^131054101 is an apocalyptic number.

It is an amenable number.

131054101 is a deficient number, since it is larger than the sum of its proper divisors (1).

131054101 is an equidigital number, since it uses as much as digits as its factorization.

131054101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 60, while the sum is 16.

The square root of 131054101 is about 11447.8863114551. The cubic root of 131054101 is about 507.9452131070.

The spelling of 131054101 in words is "one hundred thirty-one million, fifty-four thousand, one hundred one".