2142120212413 has 2 divisors, whose sum is σ = 2142120212414. Its totient is φ = 2142120212412.

The previous prime is 2142120212377. The next prime is 2142120212431. The reversal of 2142120212413 is 3142120212412.

Together with next prime (2142120212431) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1739557879929 + 402562332484 = 1318923^2 + 634478^2 .

It is a cyclic number.

It is not a de Polignac number, because 2142120212413 - 2²⁹ = 2141583341501 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2142120212473) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1071060106206 + 1071060106207.

It is an arithmetic number, because the mean of its divisors is an integer number (1071060106207).

Almost surely, 2^{2142120212413} is an apocalyptic number.

It is an amenable number.

2142120212413 is a deficient number, since it is larger than the sum of its proper divisors (1).

2142120212413 is an equidigital number, since it uses as much as digits as its factorization.

2142120212413 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1536, while the sum is 25.

Adding to 2142120212413 its reverse (3142120212412), we get a palindrome (5284240424825).

Subtracting 2142120212413 from its reverse (3142120212412), we obtain a palindrome (999999999999).

The spelling of 2142120212413 in words is "two trillion, one hundred forty-two billion, one hundred twenty million, two hundred twelve thousand, four hundred thirteen".