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130102131013 is a prime number
BaseRepresentation
bin111100100101010110…
…0001111100101000101
3110102211001010001000221
41321022230033211011
54112422121143023
6135433524104341
712254023603261
oct1711254174505
9412731101027
10130102131013
11501a3296728
122126ab350b1
13c3650b329a
146422c930a1
1535b6cd985d
hex1e4ab0f945

130102131013 has 2 divisors, whose sum is σ = 130102131014. Its totient is φ = 130102131012.

The previous prime is 130102130971. The next prime is 130102131041. The reversal of 130102131013 is 310131201031.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 87475160644 + 42626970369 = 295762^2 + 206463^2 .

It is a cyclic number.

It is not a de Polignac number, because 130102131013 - 217 = 130101999941 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (130102131043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65051065506 + 65051065507.

It is an arithmetic number, because the mean of its divisors is an integer number (65051065507).

Almost surely, 2130102131013 is an apocalyptic number.

It is an amenable number.

130102131013 is a deficient number, since it is larger than the sum of its proper divisors (1).

130102131013 is an equidigital number, since it uses as much as digits as its factorization.

130102131013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 130102131013 its reverse (310131201031), we get a palindrome (440233332044).

The spelling of 130102131013 in words is "one hundred thirty billion, one hundred two million, one hundred thirty-one thousand, thirteen".