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13313133101 is a prime number
BaseRepresentation
bin11000110011000011…
…00100101000101101
31021100211000020022202
430121201210220231
5204231130224401
610041014351245
7650624523062
oct143141445055
937324006282
1013313133101
115711a09a44
1226b665b525
13134221a468
1490419ac69
1552dba706b
hex319864a2d

13313133101 has 2 divisors, whose sum is σ = 13313133102. Its totient is φ = 13313133100.

The previous prime is 13313133091. The next prime is 13313133131. The reversal of 13313133101 is 10133131331.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 11848540201 + 1464592900 = 108851^2 + 38270^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-13313133101 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13313133131) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6656566550 + 6656566551.

It is an arithmetic number, because the mean of its divisors is an integer number (6656566551).

Almost surely, 213313133101 is an apocalyptic number.

It is an amenable number.

13313133101 is a deficient number, since it is larger than the sum of its proper divisors (1).

13313133101 is an equidigital number, since it uses as much as digits as its factorization.

13313133101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 243, while the sum is 20.

Adding to 13313133101 its reverse (10133131331), we get a palindrome (23446264432).

The spelling of 13313133101 in words is "thirteen billion, three hundred thirteen million, one hundred thirty-three thousand, one hundred one".