1013202131113 has 2 divisors, whose sum is σ = 1013202131114. Its totient is φ = 1013202131112.

The previous prime is 1013202131093. The next prime is 1013202131153. The reversal of 1013202131113 is 3111312023101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1008813333609 + 4388797504 = 1004397^2 + 66248^2 .

It is a cyclic number.

It is not a de Polignac number, because 1013202131113 - 2²¹ = 1013200033961 is a prime.

It is not a weakly prime, because it can be changed into another prime (1013202131153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 506601065556 + 506601065557.

It is an arithmetic number, because the mean of its divisors is an integer number (506601065557).

Almost surely, 2^{1013202131113} is an apocalyptic number.

It is an amenable number.

1013202131113 is a deficient number, since it is larger than the sum of its proper divisors (1).

1013202131113 is an equidigital number, since it uses as much as digits as its factorization.

1013202131113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108, while the sum is 19.

Adding to 1013202131113 its reverse (3111312023101), we get a palindrome (4124514154214).

The spelling of 1013202131113 in words is "one trillion, thirteen billion, two hundred two million, one hundred thirty-one thousand, one hundred thirteen".