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1303131112337 is a prime number
BaseRepresentation
bin10010111101101000101…
…010101100001110010001
311121120121110002102212202
4102331220222230032101
5132322303031043322
62434352234132545
7163101542456645
oct22755052541621
94546543072782
101303131112337
114627225a423a
1219067bb81155
1395b669c6832
1447101360c25
1523d6dc67292
hex12f68aac391

1303131112337 has 2 divisors, whose sum is σ = 1303131112338. Its totient is φ = 1303131112336.

The previous prime is 1303131112249. The next prime is 1303131112357. The reversal of 1303131112337 is 7332111313031.

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., 1048332302161 + 254798810176 = 1023881^2 + 504776^2 .

It is a cyclic number.

It is not a de Polignac number, because 1303131112337 - 210 = 1303131111313 is a prime.

It is not a weakly prime, because it can be changed into another prime (1303131112357) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 651565556168 + 651565556169.

It is an arithmetic number, because the mean of its divisors is an integer number (651565556169).

Almost surely, 21303131112337 is an apocalyptic number.

It is an amenable number.

1303131112337 is a deficient number, since it is larger than the sum of its proper divisors (1).

1303131112337 is an equidigital number, since it uses as much as digits as its factorization.

1303131112337 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3402, while the sum is 29.

Adding to 1303131112337 its reverse (7332111313031), we get a palindrome (8635242425368).

The spelling of 1303131112337 in words is "one trillion, three hundred three billion, one hundred thirty-one million, one hundred twelve thousand, three hundred thirty-seven".