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13131023110369 is a prime number
BaseRepresentation
bin1011111100010100110111…
…1101111101000011100001
31201111022110120121011110221
42333011031331331003201
53210114313404012434
643532150404323041
72523453664561663
oct277051575750341
951438416534427
1013131023110369
11420292124788a
121580a690a3481
137433337cc1a8
1433578b336533
1517b87c2442b4
hexbf14df7d0e1

13131023110369 has 2 divisors, whose sum is σ = 13131023110370. Its totient is φ = 13131023110368.

The previous prime is 13131023110343. The next prime is 13131023110423. The reversal of 13131023110369 is 96301132013131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8837611187344 + 4293411923025 = 2972812^2 + 2072055^2 .

It is a cyclic number.

It is not a de Polignac number, because 13131023110369 - 213 = 13131023102177 is a prime.

It is a super-2 number, since 2×131310231103692 (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (13131023114369) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6565511555184 + 6565511555185.

It is an arithmetic number, because the mean of its divisors is an integer number (6565511555185).

Almost surely, 213131023110369 is an apocalyptic number.

It is an amenable number.

13131023110369 is a deficient number, since it is larger than the sum of its proper divisors (1).

13131023110369 is an equidigital number, since it uses as much as digits as its factorization.

13131023110369 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8748, while the sum is 34.

The spelling of 13131023110369 in words is "thirteen trillion, one hundred thirty-one billion, twenty-three million, one hundred ten thousand, three hundred sixty-nine".