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1310310101 is a prime number
BaseRepresentation
bin100111000011001…
…1011111011010101
310101022120122112202
41032012123323111
510140414410401
6334004254245
744320311032
oct11606337325
93338518482
101310310101
116126aa411
123069a1385
1317b607a29
14c6046389
157a07a06b
hex4e19bed5

1310310101 has 2 divisors, whose sum is σ = 1310310102. Its totient is φ = 1310310100.

The previous prime is 1310310097. The next prime is 1310310107. The reversal of 1310310101 is 1010130131.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1292043025 + 18267076 = 35945^2 + 4274^2 .

It is a cyclic number.

It is not a de Polignac number, because 1310310101 - 22 = 1310310097 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1310310107) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 655155050 + 655155051.

It is an arithmetic number, because the mean of its divisors is an integer number (655155051).

Almost surely, 21310310101 is an apocalyptic number.

It is an amenable number.

1310310101 is a deficient number, since it is larger than the sum of its proper divisors (1).

1310310101 is an equidigital number, since it uses as much as digits as its factorization.

1310310101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 9, while the sum is 11.

The square root of 1310310101 is about 36198.2057704522. The cubic root of 1310310101 is about 1094.2705123658.

Adding to 1310310101 its reverse (1010130131), we get a palindrome (2320440232).

The spelling of 1310310101 in words is "one billion, three hundred ten million, three hundred ten thousand, one hundred one".