10131322334121 has 8 divisors (see below), whose sum is σ = 15009366420960. Its totient is φ = 6754214889396.

The previous prime is 10131322334093. The next prime is 10131322334167. The reversal of 10131322334121 is 12143322313101.

10131322334121 is a `hidden beast` number, since 1 + 0 + 1 + 3 + 1 + 322 + 334 + 1 + 2 + 1 = 666.

It is not a de Polignac number, because 10131322334121 - 2²³ = 10131313945513 is a prime.

It is a super-3 number, since 3×10131322334121³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 375234160523 = 10131322334121 / (1 + 0 + 1 + 3 + 1 + 3 + 2 + 2 + 3 + 3 + 4 + 1 + 2 + 1).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10131322334921) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 187617080235 + ... + 187617080288.

It is an arithmetic number, because the mean of its divisors is an integer number (1876170802620).

Almost surely, 2^{10131322334121} is an apocalyptic number.

It is an amenable number.

10131322334121 is a deficient number, since it is larger than the sum of its proper divisors (4878044086839).

10131322334121 is an equidigital number, since it uses as much as digits as its factorization.

10131322334121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375234160532 (or 375234160526 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 10131322334121 its reverse (12143322313101), we get a palindrome (22274644647222).

The spelling of 10131322334121 in words is "ten trillion, one hundred thirty-one billion, three hundred twenty-two million, three hundred thirty-four thousand, one hundred twenty-one".