1310312321123 has 64 divisors (see below), whose sum is σ = 1522284973440. Its totient is φ = 1119003475968.

The previous prime is 1310312321119. The next prime is 1310312321147. The reversal of 1310312321123 is 3211232130131.

It is a cyclic number.

It is not a de Polignac number, because 1310312321123 - 2² = 1310312321119 is a prime.

It is a super-3 number, since 3×1310312321123³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1310312321723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 228393911 + ... + 228399647.

It is an arithmetic number, because the mean of its divisors is an integer number (23785702710).

Almost surely, 2^{1310312321123} is an apocalyptic number.

1310312321123 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

1310312321123 is a deficient number, since it is larger than the sum of its proper divisors (211972652317).

1310312321123 is a wasteful number, since it uses less digits than its factorization.

1310312321123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6088.

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

Adding to 1310312321123 its reverse (3211232130131), we get a palindrome (4521544451254).

The spelling of 1310312321123 in words is "one trillion, three hundred ten billion, three hundred twelve million, three hundred twenty-one thousand, one hundred twenty-three".