1010042133313 has 2 divisors, whose sum is σ = 1010042133314. Its totient is φ = 1010042133312.

The previous prime is 1010042133293. The next prime is 1010042133319. The reversal of 1010042133313 is 3133312400101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1009556724289 + 485409024 = 1004767^2 + 22032^2 .

It is a cyclic number.

It is not a de Polignac number, because 1010042133313 - 2²⁵ = 1010008578881 is a prime.

It is a super-2 number, since 2×1010042133313² (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (1010042133319) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 505021066656 + 505021066657.

It is an arithmetic number, because the mean of its divisors is an integer number (505021066657).

Almost surely, 2^{1010042133313} is an apocalyptic number.

It is an amenable number.

1010042133313 is a deficient number, since it is larger than the sum of its proper divisors (1).

1010042133313 is an equidigital number, since it uses as much as digits as its factorization.

1010042133313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 1010042133313 its reverse (3133312400101), we get a palindrome (4143354533414).

The spelling of 1010042133313 in words is "one trillion, ten billion, forty-two million, one hundred thirty-three thousand, three hundred thirteen".