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130311002100313 is a prime number
BaseRepresentation
bin11101101000010001100100…
…111111011001001001011001
3122002101121110210022220211201
4131220101210333121021121
5114040003413014202223
61141052014204154201
736306442053015256
oct3550214477311131
9562347423286751
10130311002100313
1138580649537311
121274718ab38961
135793375895408
14242712c59a42d
15100ea4caadead
hex768464fd9259

130311002100313 has 2 divisors, whose sum is σ = 130311002100314. Its totient is φ = 130311002100312.

The previous prime is 130311002100217. The next prime is 130311002100319. The reversal of 130311002100313 is 313001200113031.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 128486146939929 + 1824855160384 = 11335173^2 + 1350872^2 .

It is an emirp because it is prime and its reverse (313001200113031) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-130311002100313 is a prime.

It is not a weakly prime, because it can be changed into another prime (130311002100319) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65155501050156 + 65155501050157.

It is an arithmetic number, because the mean of its divisors is an integer number (65155501050157).

Almost surely, 2130311002100313 is an apocalyptic number.

It is an amenable number.

130311002100313 is a deficient number, since it is larger than the sum of its proper divisors (1).

130311002100313 is an equidigital number, since it uses as much as digits as its factorization.

130311002100313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 162, while the sum is 19.

Adding to 130311002100313 its reverse (313001200113031), we get a palindrome (443312202213344).

The spelling of 130311002100313 in words is "one hundred thirty trillion, three hundred eleven billion, two million, one hundred thousand, three hundred thirteen".