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131311103220097 is a prime number
BaseRepresentation
bin11101110110110100111111…
…101010011001100110000001
3122012221012220120000202120221
4131312310333222121212001
5114202400114411020342
61143135253230103041
736441625356202213
oct3566647752314601
9565835816022527
10131311103220097
11389267a9548a79
1212888b7a94aa81
135836778aa7338
14245d6c42065b3
15102aa8314ba67
hex776d3fa99981

131311103220097 has 2 divisors, whose sum is σ = 131311103220098. Its totient is φ = 131311103220096.

The previous prime is 131311103220091. The next prime is 131311103220113. The reversal of 131311103220097 is 790022301113131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 113281771978881 + 18029331241216 = 10643391^2 + 4246096^2 .

It is a cyclic number.

It is not a de Polignac number, because 131311103220097 - 223 = 131311094831489 is a prime.

It is not a weakly prime, because it can be changed into another prime (131311103220091) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65655551610048 + 65655551610049.

It is an arithmetic number, because the mean of its divisors is an integer number (65655551610049).

Almost surely, 2131311103220097 is an apocalyptic number.

It is an amenable number.

131311103220097 is a deficient number, since it is larger than the sum of its proper divisors (1).

131311103220097 is an equidigital number, since it uses as much as digits as its factorization.

131311103220097 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6804, while the sum is 34.

The spelling of 131311103220097 in words is "one hundred thirty-one trillion, three hundred eleven billion, one hundred three million, two hundred twenty thousand, ninety-seven".