312121131101 has 4 divisors (see below), whose sum is σ = 336130448892. Its totient is φ = 288111813312.

The previous prime is 312121131097. The next prime is 312121131121. The reversal of 312121131101 is 101131121213.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 101131121213 = 61 ⋅1657887233.

It can be written as a sum of positive squares in 2 ways, for example, as 161522806201 + 150598324900 = 401899^2 + 388070^2 .

It is a cyclic number.

It is not a de Polignac number, because 312121131101 - 2² = 312121131097 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 312121131101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312121131121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 12004658876 + ... + 12004658901.

It is an arithmetic number, because the mean of its divisors is an integer number (84032612223).

Almost surely, 2^312121131101 is an apocalyptic number.

It is an amenable number.

312121131101 is a deficient number, since it is larger than the sum of its proper divisors (24009317791).

312121131101 is a wasteful number, since it uses less digits than its factorization.

312121131101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24009317790.

The product of its (nonzero) digits is 36, while the sum is 17.

Adding to 312121131101 its reverse (101131121213), we get a palindrome (413252252314).

The spelling of 312121131101 in words is "three hundred twelve billion, one hundred twenty-one million, one hundred thirty-one thousand, one hundred one".