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1313131441 is a prime number
BaseRepresentation
bin100111001000100…
…1100101110110001
310101111212222200211
41032101030232301
510142130201231
6334144544121
744353301356
oct11621145661
93344788624
101313131441
116142570a6
12307922041
1317c084c6b
14c657c62d
157a435eb1
hex4e44cbb1

1313131441 has 2 divisors, whose sum is σ = 1313131442. Its totient is φ = 1313131440.

The previous prime is 1313131429. The next prime is 1313131451. The reversal of 1313131441 is 1441313131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 732514225 + 580617216 = 27065^2 + 24096^2 .

It is a cyclic number.

It is not a de Polignac number, because 1313131441 - 25 = 1313131409 is a prime.

It is not a weakly prime, because it can be changed into another prime (1313131411) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 656565720 + 656565721.

It is an arithmetic number, because the mean of its divisors is an integer number (656565721).

Almost surely, 21313131441 is an apocalyptic number.

It is an amenable number.

1313131441 is a deficient number, since it is larger than the sum of its proper divisors (1).

1313131441 is an equidigital number, since it uses as much as digits as its factorization.

1313131441 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 432, while the sum is 22.

The square root of 1313131441 is about 36237.1555313052. The cubic root of 1313131441 is about 1095.0553382790.

Adding to 1313131441 its reverse (1441313131), we get a palindrome (2754444572).

The spelling of 1313131441 in words is "one billion, three hundred thirteen million, one hundred thirty-one thousand, four hundred forty-one".