2121640305113 has 12 divisors (see below), whose sum is σ = 2613208828212. Its totient is φ = 1711575371520.

The previous prime is 2121640305061. The next prime is 2121640305119. The reversal of 2121640305113 is 3115030461212.

It can be written as a sum of positive squares in 2 ways, for example, as 1853758494784 + 267881810329 = 1361528^2 + 517573^2 .

It is not a de Polignac number, because 2121640305113 - 2⁶ = 2121640305049 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2121640305119) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1273492748 + ... + 1273494413.

It is an arithmetic number, because the mean of its divisors is an integer number (217767402351).

Almost surely, 2^{2121640305113} is an apocalyptic number.

It is an amenable number.

2121640305113 is a deficient number, since it is larger than the sum of its proper divisors (491568523099).

2121640305113 is a wasteful number, since it uses less digits than its factorization.

2121640305113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2546987192 (or 2546987185 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 29.

Adding to 2121640305113 its reverse (3115030461212), we get a palindrome (5236670766325).

The spelling of 2121640305113 in words is "two trillion, one hundred twenty-one billion, six hundred forty million, three hundred five thousand, one hundred thirteen".