2142312138413 has 2 divisors, whose sum is σ = 2142312138414. Its totient is φ = 2142312138412.

The previous prime is 2142312138409. The next prime is 2142312138427. The reversal of 2142312138413 is 3148312132412.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1306032981124 + 836279157289 = 1142818^2 + 914483^2 .

It is a cyclic number.

It is not a de Polignac number, because 2142312138413 - 2² = 2142312138409 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2142312138313) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1071156069206 + 1071156069207.

It is an arithmetic number, because the mean of its divisors is an integer number (1071156069207).

Almost surely, 2^{2142312138413} is an apocalyptic number.

It is an amenable number.

2142312138413 is a deficient number, since it is larger than the sum of its proper divisors (1).

2142312138413 is an equidigital number, since it uses as much as digits as its factorization.

2142312138413 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 27648, while the sum is 35.

The spelling of 2142312138413 in words is "two trillion, one hundred forty-two billion, three hundred twelve million, one hundred thirty-eight thousand, four hundred thirteen".