21121031110013 has 16 divisors (see below), whose sum is σ = 21714458540544. Its totient is φ = 20528800289280.

The previous prime is 21121031110009. The next prime is 21121031110021. The reversal of 21121031110013 is 31001113012112.

It is a cyclic number.

It is not a de Polignac number, because 21121031110013 - 2² = 21121031110009 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 21121031109973 and 21121031110000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21121031110093) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 207962381 + ... + 208063917.

It is an arithmetic number, because the mean of its divisors is an integer number (1357153658784).

Almost surely, 2^{21121031110013} is an apocalyptic number.

It is an amenable number.

21121031110013 is a deficient number, since it is larger than the sum of its proper divisors (593427430531).

21121031110013 is a wasteful number, since it uses less digits than its factorization.

21121031110013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107372.

The product of its (nonzero) digits is 36, while the sum is 17.

Adding to 21121031110013 its reverse (31001113012112), we get a palindrome (52122144122125).

The spelling of 21121031110013 in words is "twenty-one trillion, one hundred twenty-one billion, thirty-one million, one hundred ten thousand, thirteen".