312021013113121 has 32 divisors (see below), whose sum is σ = 350453044343808. Its totient is φ = 275843090718720.

The previous prime is 312021013113079. The next prime is 312021013113143. The reversal of 312021013113121 is 121311310120213.

It is a cyclic number.

It is not a de Polignac number, because 312021013113121 - 2⁷ = 312021013112993 is a prime.

It is a super-3 number, since 3×312021013113121³ (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 312021013113092 and 312021013113101.

It is not an unprimeable number, because it can be changed into a prime (312021013113181) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 979969470 + ... + 980287816.

It is an arithmetic number, because the mean of its divisors is an integer number (10951657635744).

Almost surely, 2^{312021013113121} is an apocalyptic number.

312021013113121 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

312021013113121 is a deficient number, since it is larger than the sum of its proper divisors (38432031230687).

312021013113121 is a wasteful number, since it uses less digits than its factorization.

312021013113121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 343561.

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

Adding to 312021013113121 its reverse (121311310120213), we get a palindrome (433332323233334).

The spelling of 312021013113121 in words is "three hundred twelve trillion, twenty-one billion, thirteen million, one hundred thirteen thousand, one hundred twenty-one".