1306123631357 has 2 divisors, whose sum is σ = 1306123631358. Its totient is φ = 1306123631356.

The previous prime is 1306123631321. The next prime is 1306123631383. The reversal of 1306123631357 is 7531363216031.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 708549796516 + 597573834841 = 841754^2 + 773029^2 .

It is an emirp because it is prime and its reverse (7531363216031) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1306123631357 - 2¹² = 1306123627261 is a prime.

It is a super-2 number, since 2×1306123631357² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1206123631357) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 653061815678 + 653061815679.

It is an arithmetic number, because the mean of its divisors is an integer number (653061815679).

Almost surely, 2^{1306123631357} is an apocalyptic number.

It is an amenable number.

1306123631357 is a deficient number, since it is larger than the sum of its proper divisors (1).

1306123631357 is an equidigital number, since it uses as much as digits as its factorization.

1306123631357 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 204120, while the sum is 41.

Adding to 1306123631357 its reverse (7531363216031), we get a palindrome (8837486847388).

The spelling of 1306123631357 in words is "one trillion, three hundred six billion, one hundred twenty-three million, six hundred thirty-one thousand, three hundred fifty-seven".