20013124161629 has 2 divisors, whose sum is σ = 20013124161630. Its totient is φ = 20013124161628.

The previous prime is 20013124161449. The next prime is 20013124161659. The reversal of 20013124161629 is 92616142131002.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 15599553439129 + 4413570722500 = 3949627^2 + 2100850^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-20013124161629 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 20013124161592 and 20013124161601.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (20013124161659) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10006562080814 + 10006562080815.

It is an arithmetic number, because the mean of its divisors is an integer number (10006562080815).

Almost surely, 2^{20013124161629} is an apocalyptic number.

It is an amenable number.

20013124161629 is a deficient number, since it is larger than the sum of its proper divisors (1).

20013124161629 is an equidigital number, since it uses as much as digits as its factorization.

20013124161629 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 31104, while the sum is 38.

The spelling of 20013124161629 in words is "twenty trillion, thirteen billion, one hundred twenty-four million, one hundred sixty-one thousand, six hundred twenty-nine".