20313332129 has 2 divisors, whose sum is σ = 20313332130. Its totient is φ = 20313332128.

The previous prime is 20313332093. The next prime is 20313332153. The reversal of 20313332129 is 92123331302.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 15183907729 + 5129424400 = 123223^2 + 71620^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-20313332129 is a prime.

It is a super-3 number, since 3×20313332129³ (a number of 32 digits) contains 333 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (20313332159) 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, 10156666064 + 10156666065.

It is an arithmetic number, because the mean of its divisors is an integer number (10156666065).

Almost surely, 2^20313332129 is an apocalyptic number.

It is an amenable number.

20313332129 is a deficient number, since it is larger than the sum of its proper divisors (1).

20313332129 is an equidigital number, since it uses as much as digits as its factorization.

20313332129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5832, while the sum is 29.

The spelling of 20313332129 in words is "twenty billion, three hundred thirteen million, three hundred thirty-two thousand, one hundred twenty-nine".