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130013103133 is a prime number
BaseRepresentation
bin111100100010101100…
…0101000010000011101
3110102120211120221202001
41321011120220100131
54112231323300013
6135421024002301
712251563066624
oct1710530502035
9412524527661
10130013103133
1150158009771
1221245160391
13c34c811974
14641511a6bb
1535ae0a0ddd
hex1e4562841d

130013103133 has 2 divisors, whose sum is σ = 130013103134. Its totient is φ = 130013103132.

The previous prime is 130013103127. The next prime is 130013103169. The reversal of 130013103133 is 331301310031.

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., 82086261049 + 47926842084 = 286507^2 + 218922^2 .

It is a cyclic number.

It is not a de Polignac number, because 130013103133 - 29 = 130013102621 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 130013103133.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (130013103113) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65006551566 + 65006551567.

It is an arithmetic number, because the mean of its divisors is an integer number (65006551567).

Almost surely, 2130013103133 is an apocalyptic number.

It is an amenable number.

130013103133 is a deficient number, since it is larger than the sum of its proper divisors (1).

130013103133 is an equidigital number, since it uses as much as digits as its factorization.

130013103133 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 243, while the sum is 19.

Adding to 130013103133 its reverse (331301310031), we get a palindrome (461314413164).

The spelling of 130013103133 in words is "one hundred thirty billion, thirteen million, one hundred three thousand, one hundred thirty-three".