312131101201001 has 8 divisors (see below), whose sum is σ = 312961660588800. Its totient is φ = 311301394109200.

The previous prime is 312131101200979. The next prime is 312131101201013. The reversal of 312131101201001 is 100102101131213.

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-312131101201001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (312131101201091) 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, 212340575 + ... + 213805476.

It is an arithmetic number, because the mean of its divisors is an integer number (39120207573600).

Almost surely, 2^{312131101201001} is an apocalyptic number.

It is an amenable number.

312131101201001 is a deficient number, since it is larger than the sum of its proper divisors (830559387799).

312131101201001 is a wasteful number, since it uses less digits than its factorization.

312131101201001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426147999.

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

Adding to 312131101201001 its reverse (100102101131213), we get a palindrome (412233202332214).

The spelling of 312131101201001 in words is "three hundred twelve trillion, one hundred thirty-one billion, one hundred one million, two hundred one thousand, one".