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131333301101 is a prime number
BaseRepresentation
bin111101001010000010…
…0110010001101101101
3110112222211202221220002
41322110010302031231
54122432311113401
6140200024234045
712326363432402
oct1722404621555
9415884687802
10131333301101
1150775251a72
122155330b925
13c50019c1b2
1464dc5b82a9
153639e30a6b
hex1e9413236d

131333301101 has 2 divisors, whose sum is σ = 131333301102. Its totient is φ = 131333301100.

The previous prime is 131333301067. The next prime is 131333301149. The reversal of 131333301101 is 101103333131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 106862956201 + 24470344900 = 326899^2 + 156430^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-131333301101 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (131333301161) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65666650550 + 65666650551.

It is an arithmetic number, because the mean of its divisors is an integer number (65666650551).

Almost surely, 2131333301101 is an apocalyptic number.

It is an amenable number.

131333301101 is a deficient number, since it is larger than the sum of its proper divisors (1).

131333301101 is an equidigital number, since it uses as much as digits as its factorization.

131333301101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 243, while the sum is 20.

Adding to 131333301101 its reverse (101103333131), we get a palindrome (232436634232).

The spelling of 131333301101 in words is "one hundred thirty-one billion, three hundred thirty-three million, three hundred one thousand, one hundred one".