1310131020053 has 2 divisors, whose sum is σ = 1310131020054. Its totient is φ = 1310131020052.

The previous prime is 1310131020041. The next prime is 1310131020113. The reversal of 1310131020053 is 3500201310131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 727989487729 + 582141532324 = 853223^2 + 762982^2 .

It is a cyclic number.

It is not a de Polignac number, because 1310131020053 - 2¹⁸ = 1310130757909 is a prime.

It is a super-2 number, since 2×1310131020053² (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 (1310121020053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 655065510026 + 655065510027.

It is an arithmetic number, because the mean of its divisors is an integer number (655065510027).

Almost surely, 2^{1310131020053} is an apocalyptic number.

It is an amenable number.

1310131020053 is a deficient number, since it is larger than the sum of its proper divisors (1).

1310131020053 is an equidigital number, since it uses as much as digits as its factorization.

1310131020053 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 270, while the sum is 20.

Adding to 1310131020053 its reverse (3500201310131), we get a palindrome (4810332330184).

The spelling of 1310131020053 in words is "one trillion, three hundred ten billion, one hundred thirty-one million, twenty thousand, fifty-three".