20121313113321 has 128 divisors (see below), whose sum is σ = 32541817651200. Its totient is φ = 11045356729344.

The previous prime is 20121313113313. The next prime is 20121313113337. The reversal of 20121313113321 is 12331131312102.

It is not a de Polignac number, because 20121313113321 - 2³ = 20121313113313 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 20121313113291 and 20121313113300.

It is not an unprimeable number, because it can be changed into a prime (20121313103321) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1131482596 + ... + 1131500378.

It is an arithmetic number, because the mean of its divisors is an integer number (254232950400).

Almost surely, 2^{20121313113321} is an apocalyptic number.

20121313113321 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

20121313113321 is a deficient number, since it is larger than the sum of its proper divisors (12420504537879).

20121313113321 is a wasteful number, since it uses less digits than its factorization.

20121313113321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18220 (or 18206 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

Adding to 20121313113321 its reverse (12331131312102), we get a palindrome (32452444425423).

The spelling of 20121313113321 in words is "twenty trillion, one hundred twenty-one billion, three hundred thirteen million, one hundred thirteen thousand, three hundred twenty-one".