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1310000101 is a prime number
BaseRepresentation
bin100111000010101…
…0000001111100101
310101021222220022021
41032011100033211
510140330000401
6333553503141
744314550164
oct11605201745
93337886267
101310000101
11612508513
12306871ab1
1317b5298b7
14c5da53db
157a0182a1
hex4e1503e5

1310000101 has 2 divisors, whose sum is σ = 1310000102. Its totient is φ = 1310000100.

The previous prime is 1310000051. The next prime is 1310000149. The reversal of 1310000101 is 1010000131.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1046587201 + 263412900 = 32351^2 + 16230^2 .

It is a cyclic number.

It is not a de Polignac number, because 1310000101 - 215 = 1309967333 is a prime.

It is a super-2 number, since 2×13100001012 = 3432200529240020402, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1310001101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 655000050 + 655000051.

It is an arithmetic number, because the mean of its divisors is an integer number (655000051).

Almost surely, 21310000101 is an apocalyptic number.

It is an amenable number.

1310000101 is a deficient number, since it is larger than the sum of its proper divisors (1).

1310000101 is an equidigital number, since it uses as much as digits as its factorization.

1310000101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3, while the sum is 7.

The square root of 1310000101 is about 36193.9235369696. The cubic root of 1310000101 is about 1094.1842094838.

Adding to 1310000101 its reverse (1010000131), we get a palindrome (2320000232).

The spelling of 1310000101 in words is "one billion, three hundred ten million, one hundred one", and thus it is an aban number.