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131303122020101 is a prime number
BaseRepresentation
bin11101110110101101100011…
…111100100010011100000101
3122012220110022022222210110002
4131312231203330202130011
5114202232243214120401
61143131453241211045
736441223524132443
oct3566554374423405
9565813268883402
10131303122020101
1138923383351319
1212887511a90a85
135835aa64173a5
14245d168233b93
15102a767616a6b
hex776b63f22705

131303122020101 has 2 divisors, whose sum is σ = 131303122020102. Its totient is φ = 131303122020100.

The previous prime is 131303122020043. The next prime is 131303122020149. The reversal of 131303122020101 is 101020221303131.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 71833591720900 + 59469530299201 = 8475470^2 + 7711649^2 .

It is a cyclic number.

It is not a de Polignac number, because 131303122020101 - 218 = 131303121757957 is a prime.

It is a super-2 number, since 2×1313031220201012 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (131303122020001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65651561010050 + 65651561010051.

It is an arithmetic number, because the mean of its divisors is an integer number (65651561010051).

Almost surely, 2131303122020101 is an apocalyptic number.

It is an amenable number.

131303122020101 is a deficient number, since it is larger than the sum of its proper divisors (1).

131303122020101 is an equidigital number, since it uses as much as digits as its factorization.

131303122020101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 131303122020101 its reverse (101020221303131), we get a palindrome (232323343323232).

The spelling of 131303122020101 in words is "one hundred thirty-one trillion, three hundred three billion, one hundred twenty-two million, twenty thousand, one hundred one".