1312123120100 has 72 divisors (see below), whose sum is σ = 3079491728040. Its totient is φ = 482396820480.

The previous prime is 1312123120081. The next prime is 1312123120177. The reversal of 1312123120100 is 10213212131.

It can be written as a sum of positive squares in 12 ways, for example, as 386956155364 + 925166964736 = 622058^2 + 961856^2 .

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1863035 + ... + 2468834.

It is an arithmetic number, because the mean of its divisors is an integer number (42770718445).

Almost surely, 2^{1312123120100} is an apocalyptic number.

1312123120100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1312123120100 is an abundant number, since it is smaller than the sum of its proper divisors (1767368607940).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1312123120100 is a wasteful number, since it uses less digits than its factorization.

1312123120100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4332129 (or 4332122 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 1312123120100 its reverse (10213212131), we get a palindrome (1322336332231).

The spelling of 1312123120100 in words is "one trillion, three hundred twelve billion, one hundred twenty-three million, one hundred twenty thousand, one hundred".