2311313123201 has 2 divisors, whose sum is σ = 2311313123202. Its totient is φ = 2311313123200.

The previous prime is 2311313123159. The next prime is 2311313123267. The reversal of 2311313123201 is 1023213131132.

2311313123201 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1544611494976 + 766701628225 = 1242824^2 + 875615^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2311313123201 is a prime.

It is a super-2 number, since 2×2311313123201² (a number of 26 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2311313123101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1155656561600 + 1155656561601.

It is an arithmetic number, because the mean of its divisors is an integer number (1155656561601).

Almost surely, 2^{2311313123201} is an apocalyptic number.

It is an amenable number.

2311313123201 is a deficient number, since it is larger than the sum of its proper divisors (1).

2311313123201 is an equidigital number, since it uses as much as digits as its factorization.

2311313123201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 648, while the sum is 23.

Adding to 2311313123201 its reverse (1023213131132), we get a palindrome (3334526254333).

The spelling of 2311313123201 in words is "two trillion, three hundred eleven billion, three hundred thirteen million, one hundred twenty-three thousand, two hundred one".