2002137706813 has 2 divisors, whose sum is σ = 2002137706814. Its totient is φ = 2002137706812.

The previous prime is 2002137706787. The next prime is 2002137706823. The reversal of 2002137706813 is 3186077312002.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1630570655844 + 371567050969 = 1276938^2 + 609563^2 .

It is a cyclic number.

It is not a de Polignac number, because 2002137706813 - 2²⁹ = 2001600835901 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2002137706823) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1001068853406 + 1001068853407.

It is an arithmetic number, because the mean of its divisors is an integer number (1001068853407).

Almost surely, 2^{2002137706813} is an apocalyptic number.

It is an amenable number.

2002137706813 is a deficient number, since it is larger than the sum of its proper divisors (1).

2002137706813 is an equidigital number, since it uses as much as digits as its factorization.

2002137706813 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 84672, while the sum is 40.

The spelling of 2002137706813 in words is "two trillion, two billion, one hundred thirty-seven million, seven hundred six thousand, eight hundred thirteen".