1310423134020 has 768 divisors, whose sum is σ = 5074131492864. Its totient is φ = 243855360000.

The previous prime is 1310423134001. The next prime is 1310423134193. The reversal of 1310423134020 is 204313240131.

It is a happy number.

It is an unprimeable number.

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 255 ways as a sum of consecutive naturals, for example, 1091109420 + ... + 1091110620.

It is an arithmetic number, because the mean of its divisors is an integer number (6606942048).

Almost surely, 2^{1310423134020} is an apocalyptic number.

1310423134020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1310423134020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2537065746432).

1310423134020 is an abundant number, since it is smaller than the sum of its proper divisors (3763708358844).

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

1310423134020 is a wasteful number, since it uses less digits than its factorization.

1310423134020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1772 (or 1770 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 1310423134020 its reverse (204313240131), we get a palindrome (1514736374151).

The spelling of 1310423134020 in words is "one trillion, three hundred ten billion, four hundred twenty-three million, one hundred thirty-four thousand, twenty".