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1310210101 is a prime number
BaseRepresentation
bin100111000011000…
…0011100000110101
310101022101120101001
41032012003200311
510140403210401
6334002203301
744316413344
oct11606034065
93338346331
101310210101
11612641272
12306953531
1317b5a1365
14c601bb5b
157a05a601
hex4e183835

1310210101 has 2 divisors, whose sum is σ = 1310210102. Its totient is φ = 1310210100.

The previous prime is 1310210093. The next prime is 1310210123. The reversal of 1310210101 is 1010120131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1142507601 + 167702500 = 33801^2 + 12950^2 .

It is an emirp because it is prime and its reverse (1010120131) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1310210101 - 23 = 1310210093 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1310210141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 655105050 + 655105051.

It is an arithmetic number, because the mean of its divisors is an integer number (655105051).

Almost surely, 21310210101 is an apocalyptic number.

It is an amenable number.

1310210101 is a deficient number, since it is larger than the sum of its proper divisors (1).

1310210101 is an equidigital number, since it uses as much as digits as its factorization.

1310210101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6, while the sum is 10.

The square root of 1310210101 is about 36196.8244601650. The cubic root of 1310210101 is about 1094.2426742138.

Adding to 1310210101 its reverse (1010120131), we get a palindrome (2320330232).

The spelling of 1310210101 in words is "one billion, three hundred ten million, two hundred ten thousand, one hundred one".