13001434829 has 2 divisors, whose sum is σ = 13001434830. Its totient is φ = 13001434828.

The previous prime is 13001434739. The next prime is 13001434837. The reversal of 13001434829 is 92843410031.

13001434829 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., 8917969225 + 4083465604 = 94435^2 + 63902^2 .

It is a cyclic number.

It is not a de Polignac number, because 13001434829 - 2¹² = 13001430733 is a prime.

It is a super-2 number, since 2×13001434829² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13001434429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6500717414 + 6500717415.

It is an arithmetic number, because the mean of its divisors is an integer number (6500717415).

Almost surely, 2^13001434829 is an apocalyptic number.

It is an amenable number.

13001434829 is a deficient number, since it is larger than the sum of its proper divisors (1).

13001434829 is an equidigital number, since it uses as much as digits as its factorization.

13001434829 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 20736, while the sum is 35.

The spelling of 13001434829 in words is "thirteen billion, one million, four hundred thirty-four thousand, eight hundred twenty-nine".