312142210413001 has 8 divisors (see below), whose sum is σ = 315006303169800. Its totient is φ = 309278124979200.

The previous prime is 312142210412953. The next prime is 312142210413013. The reversal of 312142210413001 is 100314012241213.

It can be written as a sum of positive squares in 4 ways, for example, as 56425651913401 + 255716558499600 = 7511701^2 + 15991140^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 312142210413001 - 2⁷ = 312142210412873 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (312142210410001) 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, 122156265 + ... + 124685353.

It is an arithmetic number, because the mean of its divisors is an integer number (39375787896225).

Almost surely, 2^{312142210413001} is an apocalyptic number.

It is an amenable number.

312142210413001 is a deficient number, since it is larger than the sum of its proper divisors (2864092756799).

312142210413001 is a wasteful number, since it uses less digits than its factorization.

312142210413001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3661499.

The product of its (nonzero) digits is 1152, while the sum is 25.

Adding to 312142210413001 its reverse (100314012241213), we get a palindrome (412456222654214).

The spelling of 312142210413001 in words is "three hundred twelve trillion, one hundred forty-two billion, two hundred ten million, four hundred thirteen thousand, one".