312343312101441 has 8 divisors (see below), whose sum is σ = 416460755050464. Its totient is φ = 208227371943360.

The previous prime is 312343312101347. The next prime is 312343312101461. The reversal of 312343312101441 is 144101213343213.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 312343312101441 - 2²³ = 312343303712833 is a prime.

It is a super-2 number, since 2×312343312101441² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (312343312101461) 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 7 ways as a sum of consecutive naturals, for example, 375212680 + ... + 376044201.

It is an arithmetic number, because the mean of its divisors is an integer number (52057594381308).

Almost surely, 2^{312343312101441} is an apocalyptic number.

It is an amenable number.

312343312101441 is a deficient number, since it is larger than the sum of its proper divisors (104117442949023).

312343312101441 is a wasteful number, since it uses less digits than its factorization.

312343312101441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 751395471.

The product of its (nonzero) digits is 20736, while the sum is 33.

Adding to 312343312101441 its reverse (144101213343213), we get a palindrome (456444525444654).

The spelling of 312343312101441 in words is "three hundred twelve trillion, three hundred forty-three billion, three hundred twelve million, one hundred one thousand, four hundred forty-one".