2130013202013 has 6 divisors (see below), whose sum is σ = 3076685736254. Its totient is φ = 1420008801336.

The previous prime is 2130013202003. The next prime is 2130013202017. The reversal of 2130013202013 is 3102023100312.

2130013202013 is a `hidden beast` number, since 21 + 300 + 1 + 320 + 20 + 1 + 3 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1194502542489 + 935510659524 = 1092933^2 + 967218^2 .

It is not a de Polignac number, because 2130013202013 - 2¹³ = 2130013193821 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2130013202017) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 118334066770 + ... + 118334066787.

Almost surely, 2^{2130013202013} is an apocalyptic number.

It is an amenable number.

2130013202013 is a deficient number, since it is larger than the sum of its proper divisors (946672534241).

2130013202013 is a wasteful number, since it uses less digits than its factorization.

2130013202013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236668133563 (or 236668133560 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 2130013202013 its reverse (3102023100312), we get a palindrome (5232036302325).

The spelling of 2130013202013 in words is "two trillion, one hundred thirty billion, thirteen million, two hundred two thousand, thirteen".