1313031121300 has 72 divisors (see below), whose sum is σ = 2973843771192. Its totient is φ = 502734336000.

The previous prime is 1313031121279. The next prime is 1313031121301. The reversal of 1313031121300 is 31211303131.

It can be written as a sum of positive squares in 12 ways, for example, as 898465119876 + 414566001424 = 947874^2 + 643868^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1313031121301) 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 23 ways as a sum of consecutive naturals, for example, 2803941 + ... + 3238540.

It is an arithmetic number, because the mean of its divisors is an integer number (41303385711).

Almost surely, 2^{1313031121300} is an apocalyptic number.

1313031121300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1313031121300 is an abundant number, since it is smaller than the sum of its proper divisors (1660812649892).

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

1313031121300 is a wasteful number, since it uses less digits than its factorization.

1313031121300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6042589 (or 6042582 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 19.

Adding to 1313031121300 its reverse (31211303131), we get a palindrome (1344242424431).

The spelling of 1313031121300 in words is "one trillion, three hundred thirteen billion, thirty-one million, one hundred twenty-one thousand, three hundred".