230311313121101 has 6 divisors (see below), whose sum is σ = 238526936657802. Its totient is φ = 222369543702320.

The previous prime is 230311313121073. The next prime is 230311313121107. The reversal of 230311313121101 is 101121313113032.

It can be written as a sum of positive squares in 3 ways, for example, as 27484582145476 + 202826730975625 = 5242574^2 + 14241725^2 .

It is not a de Polignac number, because 230311313121101 - 2⁶ = 230311313121037 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 (230311313121107) 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 5 ways as a sum of consecutive naturals, for example, 136927058090 + ... + 136927059771.

It is an arithmetic number, because the mean of its divisors is an integer number (39754489442967).

Almost surely, 2^{230311313121101} is an apocalyptic number.

It is an amenable number.

230311313121101 is a deficient number, since it is larger than the sum of its proper divisors (8215623536701).

230311313121101 is an equidigital number, since it uses as much as digits as its factorization.

230311313121101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273854117919 (or 273854117890 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 23.

Adding to 230311313121101 its reverse (101121313113032), we get a palindrome (331432626234133).

The spelling of 230311313121101 in words is "two hundred thirty trillion, three hundred eleven billion, three hundred thirteen million, one hundred twenty-one thousand, one hundred one".