312131111232301 has 2 divisors, whose sum is σ = 312131111232302. Its totient is φ = 312131111232300.

The previous prime is 312131111232271. The next prime is 312131111232329. The reversal of 312131111232301 is 103232111131213.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 236274588743076 + 75856522489225 = 15371226^2 + 8709565^2 .

It is a cyclic number.

It is not a de Polignac number, because 312131111232301 - 2¹³ = 312131111224109 is a prime.

It is a super-2 number, since 2×312131111232301² (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 (312131111232601) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156065555616150 + 156065555616151.

It is an arithmetic number, because the mean of its divisors is an integer number (156065555616151).

Almost surely, 2^{312131111232301} is an apocalyptic number.

It is an amenable number.

312131111232301 is a deficient number, since it is larger than the sum of its proper divisors (1).

312131111232301 is an equidigital number, since it uses as much as digits as its factorization.

312131111232301 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 648, while the sum is 25.

Adding to 312131111232301 its reverse (103232111131213), we get a palindrome (415363222363514).

The spelling of 312131111232301 in words is "three hundred twelve trillion, one hundred thirty-one billion, one hundred eleven million, two hundred thirty-two thousand, three hundred one".