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131042101 is a prime number
BaseRepresentation
bin1111100111110…
…00101100110101
3100010120121222011
413303320230311
5232021321401
621000404221
73150560641
oct763705465
9303517864
10131042101
1167a73963
1237a76671
13211c1c08
1413591c21
15b787451
hex7cf8b35

131042101 has 2 divisors, whose sum is σ = 131042102. Its totient is φ = 131042100.

The previous prime is 131042099. The next prime is 131042161. The reversal of 131042101 is 101240131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 104571076 + 26471025 = 10226^2 + 5145^2 .

It is a cyclic number.

It is not a de Polignac number, because 131042101 - 21 = 131042099 is a prime.

Together with 131042099, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (131042161) 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, 65521050 + 65521051.

It is an arithmetic number, because the mean of its divisors is an integer number (65521051).

Almost surely, 2131042101 is an apocalyptic number.

It is an amenable number.

131042101 is a deficient number, since it is larger than the sum of its proper divisors (1).

131042101 is an equidigital number, since it uses as much as digits as its factorization.

131042101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24, while the sum is 13.

The square root of 131042101 is about 11447.3621852373. The cubic root of 131042101 is about 507.9297092589.

Adding to 131042101 its reverse (101240131), we get a palindrome (232282232).

The spelling of 131042101 in words is "one hundred thirty-one million, forty-two thousand, one hundred one".