2121310101213 has 6 divisors (see below), whose sum is σ = 3064114590654. Its totient is φ = 1414206734136.

The previous prime is 2121310101187. The next prime is 2121310101217. The reversal of 2121310101213 is 3121010131212.

2121310101213 is a `hidden beast` number, since 21 + 21 + 310 + 101 + 213 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1114382143449 + 1006927957764 = 1055643^2 + 1003458^2 .

It is not a de Polignac number, because 2121310101213 - 2⁸ = 2121310100957 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2121310101217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 117850561170 + ... + 117850561187.

It is an arithmetic number, because the mean of its divisors is an integer number (510685765109).

Almost surely, 2^{2121310101213} is an apocalyptic number.

It is an amenable number.

2121310101213 is a deficient number, since it is larger than the sum of its proper divisors (942804489441).

2121310101213 is a wasteful number, since it uses less digits than its factorization.

2121310101213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235701122363 (or 235701122360 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 2121310101213 its reverse (3121010131212), we get a palindrome (5242320232425).

Subtracting 2121310101213 from its reverse (3121010131212), we obtain a cube (999700029999 = 9999³).

The spelling of 2121310101213 in words is "two trillion, one hundred twenty-one billion, three hundred ten million, one hundred one thousand, two hundred thirteen".