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1313201131331 is a prime number
BaseRepresentation
bin10011000111000000111…
…000110000111101000011
311122112121020121102000012
4103013000320300331003
5133003413442200311
62443135401415135
7163606230304625
oct23070070607503
94575536542005
101313201131331
11466a1a892591
1219261049a4ab
1396ab005b35b
14477b890cc15
152425cd5678b
hex131c0e30f43

1313201131331 has 2 divisors, whose sum is σ = 1313201131332. Its totient is φ = 1313201131330.

The previous prime is 1313201131201. The next prime is 1313201131343. The reversal of 1313201131331 is 1331311023131.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 1313201131331 - 218 = 1313200869187 is a prime.

It is a super-2 number, since 2×13132011313312 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1313201131297 and 1313201131306.

It is not a weakly prime, because it can be changed into another prime (1313201134331) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 656600565665 + 656600565666.

It is an arithmetic number, because the mean of its divisors is an integer number (656600565666).

Almost surely, 21313201131331 is an apocalyptic number.

1313201131331 is a deficient number, since it is larger than the sum of its proper divisors (1).

1313201131331 is an equidigital number, since it uses as much as digits as its factorization.

1313201131331 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 486, while the sum is 23.

Adding to 1313201131331 its reverse (1331311023131), we get a palindrome (2644512154462).

The spelling of 1313201131331 in words is "one trillion, three hundred thirteen billion, two hundred one million, one hundred thirty-one thousand, three hundred thirty-one".