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1313303133001 is a prime number
BaseRepresentation
bin10011000111000110111…
…101110111101101001001
311122112212100112121222211
4103013012331313231021
5133004121100224001
62443153443545121
7163611606304606
oct23070675675511
94575770477884
101313303133001
11466a72420992
1219263a68b1a1
1396ac8222c82
14477c82a16ad
1524266ca4351
hex131c6f77b49

1313303133001 has 2 divisors, whose sum is σ = 1313303133002. Its totient is φ = 1313303133000.

The previous prime is 1313303132987. The next prime is 1313303133019. The reversal of 1313303133001 is 1003313033131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 975503880976 + 337799252025 = 987676^2 + 581205^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1313303133001 is a prime.

It is not a weakly prime, because it can be changed into another prime (1313303136001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 656651566500 + 656651566501.

It is an arithmetic number, because the mean of its divisors is an integer number (656651566501).

Almost surely, 21313303133001 is an apocalyptic number.

It is an amenable number.

1313303133001 is a deficient number, since it is larger than the sum of its proper divisors (1).

1313303133001 is an equidigital number, since it uses as much as digits as its factorization.

1313303133001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 729, while the sum is 22.

Adding to 1313303133001 its reverse (1003313033131), we get a palindrome (2316616166132).

The spelling of 1313303133001 in words is "one trillion, three hundred thirteen billion, three hundred three million, one hundred thirty-three thousand, one".