1013132323213 has 2 divisors, whose sum is σ = 1013132323214. Its totient is φ = 1013132323212.

The previous prime is 1013132323193. The next prime is 1013132323243. The reversal of 1013132323213 is 3123232313101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 753401432169 + 259730891044 = 867987^2 + 509638^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1013132323213 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1013132323243) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 506566161606 + 506566161607.

It is an arithmetic number, because the mean of its divisors is an integer number (506566161607).

Almost surely, 2^{1013132323213} is an apocalyptic number.

It is an amenable number.

1013132323213 is a deficient number, since it is larger than the sum of its proper divisors (1).

1013132323213 is an equidigital number, since it uses as much as digits as its factorization.

1013132323213 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1944, while the sum is 25.

Adding to 1013132323213 its reverse (3123232313101), we get a palindrome (4136364636314).

The spelling of 1013132323213 in words is "one trillion, thirteen billion, one hundred thirty-two million, three hundred twenty-three thousand, two hundred thirteen".