312101123211301 has 2 divisors, whose sum is σ = 312101123211302. Its totient is φ = 312101123211300.

The previous prime is 312101123211259. The next prime is 312101123211323. The reversal of 312101123211301 is 103112321101213.

It is an a-pointer prime, because the next prime (312101123211323) can be obtained adding 312101123211301 to its sum of digits (22).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 185522760214276 + 126578362997025 = 13620674^2 + 11250705^2 .

It is an emirp because it is prime and its reverse (103112321101213) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 312101123211301 - 2²¹ = 312101121114149 is a prime.

It is a super-2 number, since 2×312101123211301² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (312101123211331) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156050561605650 + 156050561605651.

It is an arithmetic number, because the mean of its divisors is an integer number (156050561605651).

Almost surely, 2^{312101123211301} is an apocalyptic number.

It is an amenable number.

312101123211301 is a deficient number, since it is larger than the sum of its proper divisors (1).

312101123211301 is an equidigital number, since it uses as much as digits as its factorization.

312101123211301 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 216, while the sum is 22.

Adding to 312101123211301 its reverse (103112321101213), we get a palindrome (415213444312514).

The spelling of 312101123211301 in words is "three hundred twelve trillion, one hundred one billion, one hundred twenty-three million, two hundred eleven thousand, three hundred one".