21121312013113 has 8 divisors (see below), whose sum is σ = 22761324931968. Its totient is φ = 19483484324304.

The previous prime is 21121312013107. The next prime is 21121312013117. The reversal of 21121312013113 is 31131021312112.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 21121312013113 - 2²⁵ = 21121278458681 is a prime.

It is a super-2 number, since 2×21121312013113² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (21121312013117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 546287431 + ... + 546326092.

It is an arithmetic number, because the mean of its divisors is an integer number (2845165616496).

Almost surely, 2^{21121312013113} is an apocalyptic number.

It is an amenable number.

21121312013113 is a deficient number, since it is larger than the sum of its proper divisors (1640012918855).

21121312013113 is a wasteful number, since it uses less digits than its factorization.

21121312013113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1092615023.

The product of its (nonzero) digits is 216, while the sum is 22.

Adding to 21121312013113 its reverse (31131021312112), we get a palindrome (52252333325225).

The spelling of 21121312013113 in words is "twenty-one trillion, one hundred twenty-one billion, three hundred twelve million, thirteen thousand, one hundred thirteen".