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131010030013 is a prime number
BaseRepresentation
bin111101000000011001…
…1100110100110111101
3110112011022111002022211
41322000303212212331
54121302031430023
6140103555340421
712315356611162
oct1720063464675
9415138432284
10131010030013
1150619823685
1221482bb1711
13c47b214125
1464ab6a8069
15361b876a0d
hex1e80ce69bd

131010030013 has 2 divisors, whose sum is σ = 131010030014. Its totient is φ = 131010030012.

The previous prime is 131010029999. The next prime is 131010030037. The reversal of 131010030013 is 310030010131.

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., 105263260249 + 25746769764 = 324443^2 + 160458^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-131010030013 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 131010029975 and 131010030002.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (131017030013) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65505015006 + 65505015007.

It is an arithmetic number, because the mean of its divisors is an integer number (65505015007).

Almost surely, 2131010030013 is an apocalyptic number.

It is an amenable number.

131010030013 is a deficient number, since it is larger than the sum of its proper divisors (1).

131010030013 is an equidigital number, since it uses as much as digits as its factorization.

131010030013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 27, while the sum is 13.

Adding to 131010030013 its reverse (310030010131), we get a palindrome (441040040144).

The spelling of 131010030013 in words is "one hundred thirty-one billion, ten million, thirty thousand, thirteen".