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131320121230013 is a prime number
BaseRepresentation
bin11101110110111101011001…
…001011011000001010111101
3122012222002012001000010120012
4131312331121023120022331
5114203022102013330023
61143143344133233005
736442365011053262
oct3566753113301275
9565862161003505
10131320121230013
113892a606a20331
121288a876a92765
1358375851c1c91
14245dcdbb89269
15102ae0ebd4978
hex776f592d82bd

131320121230013 has 2 divisors, whose sum is σ = 131320121230014. Its totient is φ = 131320121230012.

The previous prime is 131320121230007. The next prime is 131320121230031. The reversal of 131320121230013 is 310032121023131.

Together with next prime (131320121230031) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 84173523699769 + 47146597530244 = 9174613^2 + 6866338^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-131320121230013 is a prime.

It is a super-2 number, since 2×1313201212300132 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (131320121230033) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65660060615006 + 65660060615007.

It is an arithmetic number, because the mean of its divisors is an integer number (65660060615007).

Almost surely, 2131320121230013 is an apocalyptic number.

It is an amenable number.

131320121230013 is a deficient number, since it is larger than the sum of its proper divisors (1).

131320121230013 is an equidigital number, since it uses as much as digits as its factorization.

131320121230013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 648, while the sum is 23.

Adding to 131320121230013 its reverse (310032121023131), we get a palindrome (441352242253144).

The spelling of 131320121230013 in words is "one hundred thirty-one trillion, three hundred twenty billion, one hundred twenty-one million, two hundred thirty thousand, thirteen".