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13130312202041 is a prime number
BaseRepresentation
bin1011111100010010001110…
…0110000011011100111001
31201111020122000220021120212
42333010203212003130321
53210111334410431131
643531552051200505
72523430243135646
oct277044346033471
951436560807525
1013130312202041
114202596a27941
1215808aaba6135
1374324c440988
14335720b5cdcd
1517b839b19a2b
hexbf123983739

13130312202041 has 2 divisors, whose sum is σ = 13130312202042. Its totient is φ = 13130312202040.

The previous prime is 13130312201987. The next prime is 13130312202079. The reversal of 13130312202041 is 14020221303131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9891050160016 + 3239262042025 = 3145004^2 + 1799795^2 .

It is a cyclic number.

It is not a de Polignac number, because 13130312202041 - 26 = 13130312201977 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 13130312201998 and 13130312202016.

It is not a weakly prime, because it can be changed into another prime (13130312202541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6565156101020 + 6565156101021.

It is an arithmetic number, because the mean of its divisors is an integer number (6565156101021).

Almost surely, 213130312202041 is an apocalyptic number.

It is an amenable number.

13130312202041 is a deficient number, since it is larger than the sum of its proper divisors (1).

13130312202041 is an equidigital number, since it uses as much as digits as its factorization.

13130312202041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 13130312202041 its reverse (14020221303131), we get a palindrome (27150533505172).

The spelling of 13130312202041 in words is "thirteen trillion, one hundred thirty billion, three hundred twelve million, two hundred two thousand, forty-one".