1033010223313 has 2 divisors, whose sum is σ = 1033010223314. Its totient is φ = 1033010223312.

The previous prime is 1033010223283. The next prime is 1033010223317. The reversal of 1033010223313 is 3133220103301.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 861310212624 + 171700010689 = 928068^2 + 414367^2 .

It is a cyclic number.

It is not a de Polignac number, because 1033010223313 - 2¹³ = 1033010215121 is a prime.

It is a super-2 number, since 2×1033010223313² (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (1033010223317) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 516505111656 + 516505111657.

It is an arithmetic number, because the mean of its divisors is an integer number (516505111657).

Almost surely, 2^{1033010223313} is an apocalyptic number.

It is an amenable number.

1033010223313 is a deficient number, since it is larger than the sum of its proper divisors (1).

1033010223313 is an equidigital number, since it uses as much as digits as its factorization.

1033010223313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 972, while the sum is 22.

Adding to 1033010223313 its reverse (3133220103301), we get a palindrome (4166230326614).

The spelling of 1033010223313 in words is "one trillion, thirty-three billion, ten million, two hundred twenty-three thousand, three hundred thirteen".