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1313414311369 is a prime number
BaseRepresentation
bin10011000111001101100…
…101111110110111001001
311122120011002202002001011
4103013031211332313021
5133004333030430434
62443212454523521
7163614426305026
oct23071545766711
94576132662034
101313414311369
1146701a157936
1219266b9665a1
1396b1527b7a4
14477d8d6254d
1524271915e64
hex131cd97edc9

1313414311369 has 2 divisors, whose sum is σ = 1313414311370. Its totient is φ = 1313414311368.

The previous prime is 1313414311337. The next prime is 1313414311381. The reversal of 1313414311369 is 9631134143131.

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., 671031297225 + 642383014144 = 819165^2 + 801488^2 .

It is a cyclic number.

It is not a de Polignac number, because 1313414311369 - 25 = 1313414311337 is a prime.

It is a super-2 number, since 2×13134143113692 (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (1313414314369) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 656707155684 + 656707155685.

It is an arithmetic number, because the mean of its divisors is an integer number (656707155685).

Almost surely, 21313414311369 is an apocalyptic number.

It is an amenable number.

1313414311369 is a deficient number, since it is larger than the sum of its proper divisors (1).

1313414311369 is an equidigital number, since it uses as much as digits as its factorization.

1313414311369 is an evil number, because the sum of its binary digits is even.

The product of its digits is 69984, while the sum is 40.

The spelling of 1313414311369 in words is "one trillion, three hundred thirteen billion, four hundred fourteen million, three hundred eleven thousand, three hundred sixty-nine".