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131103300101 is a prime number
BaseRepresentation
bin111101000011001011…
…1011001101000000101
3110112101210222200211112
41322012113121220011
54121444421100401
6140121130414405
712320601443504
oct1720627315005
9415353880745
10131103300101
11506674388a4
12214aa291405
13c49463c627
1464b9c2683b
153624b4c3bb
hex1e865d9a05

131103300101 has 2 divisors, whose sum is σ = 131103300102. Its totient is φ = 131103300100.

The previous prime is 131103300089. The next prime is 131103300131. The reversal of 131103300101 is 101003301131.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 129187049476 + 1916250625 = 359426^2 + 43775^2 .

It is a cyclic number.

It is not a de Polignac number, because 131103300101 - 210 = 131103299077 is a prime.

It is a super-2 number, since 2×1311033001012 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (131103300131) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65551650050 + 65551650051.

It is an arithmetic number, because the mean of its divisors is an integer number (65551650051).

Almost surely, 2131103300101 is an apocalyptic number.

It is an amenable number.

131103300101 is a deficient number, since it is larger than the sum of its proper divisors (1).

131103300101 is an equidigital number, since it uses as much as digits as its factorization.

131103300101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 27, while the sum is 14.

Adding to 131103300101 its reverse (101003301131), we get a palindrome (232106601232).

The spelling of 131103300101 in words is "one hundred thirty-one billion, one hundred three million, three hundred thousand, one hundred one".