123311201211301 has 32 divisors (see below), whose sum is σ = 134202470081760. Its totient is φ = 112829242761216.

The previous prime is 123311201211299. The next prime is 123311201211377. The reversal of 123311201211301 is 103112102113321.

It can be written as a sum of positive squares in 16 ways, for example, as 25570316024100 + 97740885187201 = 5056710^2 + 9886399^2 .

It is a cyclic number.

It is not a de Polignac number, because 123311201211301 - 2¹ = 123311201211299 is a prime.

It is a super-2 number, since 2×123311201211301² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123311201211701) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6589591521 + ... + 6589610233.

It is an arithmetic number, because the mean of its divisors is an integer number (4193827190055).

Almost surely, 2^{123311201211301} is an apocalyptic number.

It is an amenable number.

123311201211301 is a deficient number, since it is larger than the sum of its proper divisors (10891268870459).

123311201211301 is a wasteful number, since it uses less digits than its factorization.

123311201211301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26713.

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

Adding to 123311201211301 its reverse (103112102113321), we get a palindrome (226423303324622).

The spelling of 123311201211301 in words is "one hundred twenty-three trillion, three hundred eleven billion, two hundred one million, two hundred eleven thousand, three hundred one".