34130031133321 has 2 divisors, whose sum is σ = 34130031133322. Its totient is φ = 34130031133320.

The previous prime is 34130031133249. The next prime is 34130031133327. The reversal of 34130031133321 is 12333113003143.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 23826162252025 + 10303868881296 = 4881205^2 + 3209964^2 .

It is a cyclic number.

It is not a de Polignac number, because 34130031133321 - 2¹⁹ = 34130030609033 is a prime.

It is a super-2 number, since 2×34130031133321² (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 34130031133321.

It is not a weakly prime, because it can be changed into another prime (34130031133327) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17065015566660 + 17065015566661.

It is an arithmetic number, because the mean of its divisors is an integer number (17065015566661).

Almost surely, 2^{34130031133321} is an apocalyptic number.

It is an amenable number.

34130031133321 is a deficient number, since it is larger than the sum of its proper divisors (1).

34130031133321 is an equidigital number, since it uses as much as digits as its factorization.

34130031133321 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 5832, while the sum is 28.

Adding to 34130031133321 its reverse (12333113003143), we get a palindrome (46463144136464).

The spelling of 34130031133321 in words is "thirty-four trillion, one hundred thirty billion, thirty-one million, one hundred thirty-three thousand, three hundred twenty-one".