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201321313301309 is a prime number
BaseRepresentation
bin101101110001100111000101…
…010111010111001100111101
3222101211010111110201101202112
4231301213011113113030331
5202341422022201120214
61552101422355103405
760255661551132665
oct5561470527271475
9871733443641675
10201321313301309
1159168986a17243
121a6b55045a1b65
138844697b752c6
1437a0009a791a5
151841c6919ba3e
hexb719c55d733d

201321313301309 has 2 divisors, whose sum is σ = 201321313301310. Its totient is φ = 201321313301308.

The previous prime is 201321313301287. The next prime is 201321313301393. The reversal of 201321313301309 is 903103313123102.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 181286782061284 + 20034531240025 = 13464278^2 + 4475995^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-201321313301309 is a prime.

It is a super-2 number, since 2×2013213133013092 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (201321313301509) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 100660656650654 + 100660656650655.

It is an arithmetic number, because the mean of its divisors is an integer number (100660656650655).

Almost surely, 2201321313301309 is an apocalyptic number.

It is an amenable number.

201321313301309 is a deficient number, since it is larger than the sum of its proper divisors (1).

201321313301309 is an equidigital number, since it uses as much as digits as its factorization.

201321313301309 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 32.

The spelling of 201321313301309 in words is "two hundred one trillion, three hundred twenty-one billion, three hundred thirteen million, three hundred one thousand, three hundred nine".