2142241013713 has 2 divisors, whose sum is σ = 2142241013714. Its totient is φ = 2142241013712.

The previous prime is 2142241013677. The next prime is 2142241013729. The reversal of 2142241013713 is 3173101422412.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2022103908049 + 120137105664 = 1422007^2 + 346608^2 .

It is a cyclic number.

It is not a de Polignac number, because 2142241013713 - 2⁹ = 2142241013201 is a prime.

It is not a weakly prime, because it can be changed into another prime (2142241013413) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1071120506856 + 1071120506857.

It is an arithmetic number, because the mean of its divisors is an integer number (1071120506857).

Almost surely, 2^{2142241013713} is an apocalyptic number.

It is an amenable number.

2142241013713 is a deficient number, since it is larger than the sum of its proper divisors (1).

2142241013713 is an equidigital number, since it uses as much as digits as its factorization.

2142241013713 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8064, while the sum is 31.

The spelling of 2142241013713 in words is "two trillion, one hundred forty-two billion, two hundred forty-one million, thirteen thousand, seven hundred thirteen".