312103212001301 has 12 divisors (see below), whose sum is σ = 363066848331660. Its totient is φ = 267511136840640.

The previous prime is 312103212001291. The next prime is 312103212001351. The reversal of 312103212001301 is 103100212301213.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 20342138571076 + 291761073430225 = 4510226^2 + 17081015^2 .

It is a de Polignac number, because none of the positive numbers 2^k-312103212001301 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312103212001351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 68017736 + ... + 72461153.

It is an arithmetic number, because the mean of its divisors is an integer number (30255570694305).

Almost surely, 2^{312103212001301} is an apocalyptic number.

It is an amenable number.

312103212001301 is a deficient number, since it is larger than the sum of its proper divisors (50963636330359).

312103212001301 is a wasteful number, since it uses less digits than its factorization.

312103212001301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140524244 (or 140524237 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 312103212001301 its reverse (103100212301213), we get a palindrome (415203424302514).

The spelling of 312103212001301 in words is "three hundred twelve trillion, one hundred three billion, two hundred twelve million, one thousand, three hundred one".