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1313076436381 is a prime number
BaseRepresentation
bin10011000110111001011…
…101000101110110011101
311122112021112222020200201
4103012321131011312131
5133003140031431011
62443115145023501
7163603154360533
oct23067135056635
94575245866621
101313076436381
11466966464406
12192596784b91
1396a9027c468
14477a6130153
1524251e24cc1
hex131b9745d9d

1313076436381 has 2 divisors, whose sum is σ = 1313076436382. Its totient is φ = 1313076436380.

The previous prime is 1313076436379. The next prime is 1313076436387. The reversal of 1313076436381 is 1836346703131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1007897531481 + 305178904900 = 1003941^2 + 552430^2 .

It is an emirp because it is prime and its reverse (1836346703131) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1313076436381 - 21 = 1313076436379 is a prime.

It is a super-2 number, since 2×13130764363812 (a number of 25 digits) contains 22 as substring.

Together with 1313076436379, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1313076436387) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 656538218190 + 656538218191.

It is an arithmetic number, because the mean of its divisors is an integer number (656538218191).

Almost surely, 21313076436381 is an apocalyptic number.

It is an amenable number.

1313076436381 is a deficient number, since it is larger than the sum of its proper divisors (1).

1313076436381 is an equidigital number, since it uses as much as digits as its factorization.

1313076436381 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 653184, while the sum is 46.

The spelling of 1313076436381 in words is "one trillion, three hundred thirteen billion, seventy-six million, four hundred thirty-six thousand, three hundred eighty-one".