1033131302213 has 2 divisors, whose sum is σ = 1033131302214. Its totient is φ = 1033131302212.

The previous prime is 1033131302117. The next prime is 1033131302219. The reversal of 1033131302213 is 3122031313301.

1033131302213 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 813284723329 + 219846578884 = 901823^2 + 468878^2 .

It is a cyclic number.

It is not a de Polignac number, because 1033131302213 - 2¹⁴ = 1033131285829 is a prime.

It is a super-2 number, since 2×1033131302213² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1033131302219) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 516565651106 + 516565651107.

It is an arithmetic number, because the mean of its divisors is an integer number (516565651107).

Almost surely, 2^{1033131302213} is an apocalyptic number.

It is an amenable number.

1033131302213 is a deficient number, since it is larger than the sum of its proper divisors (1).

1033131302213 is an equidigital number, since it uses as much as digits as its factorization.

1033131302213 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 23.

Adding to 1033131302213 its reverse (3122031313301), we get a palindrome (4155162615514).

The spelling of 1033131302213 in words is "one trillion, thirty-three billion, one hundred thirty-one million, three hundred two thousand, two hundred thirteen".