10121131344339 has 32 divisors (see below), whose sum is σ = 15191255449600. Its totient is φ = 6742143488808.

The previous prime is 10121131344329. The next prime is 10121131344343. The reversal of 10121131344339 is 93344313112101.

10121131344339 is a `hidden beast` number, since 1 + 0 + 1 + 2 + 1 + 1 + 313 + 4 + 4 + 339 = 666.

It is not a de Polignac number, because 10121131344339 - 2¹¹ = 10121131342291 is a prime.

It is a super-2 number, since 2×10121131344339² (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 (10121131344329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 988002 + ... + 4606344.

It is an arithmetic number, because the mean of its divisors is an integer number (474726732800).

Almost surely, 2^{10121131344339} is an apocalyptic number.

10121131344339 is a deficient number, since it is larger than the sum of its proper divisors (5070124105261).

10121131344339 is an frugal number, since it uses more digits than its factorization.

10121131344339 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3619643 (or 3619625 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The spelling of 10121131344339 in words is "ten trillion, one hundred twenty-one billion, one hundred thirty-one million, three hundred forty-four thousand, three hundred thirty-nine".