1013442432113 has 2 divisors, whose sum is σ = 1013442432114. Its totient is φ = 1013442432112.

The previous prime is 1013442432109. The next prime is 1013442432137. The reversal of 1013442432113 is 3112342443101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 778573287424 + 234869144689 = 882368^2 + 484633^2 .

It is an emirp because it is prime and its reverse (3112342443101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1013442432113 - 2² = 1013442432109 is a prime.

It is a super-2 number, since 2×1013442432113² (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (1013442492113) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 506721216056 + 506721216057.

It is an arithmetic number, because the mean of its divisors is an integer number (506721216057).

Almost surely, 2^{1013442432113} is an apocalyptic number.

It is an amenable number.

1013442432113 is a deficient number, since it is larger than the sum of its proper divisors (1).

1013442432113 is an equidigital number, since it uses as much as digits as its factorization.

1013442432113 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6912, while the sum is 29.

Adding to 1013442432113 its reverse (3112342443101), we get a palindrome (4125784875214).

The spelling of 1013442432113 in words is "one trillion, thirteen billion, four hundred forty-two million, four hundred thirty-two thousand, one hundred thirteen".