1310141141040 has 160 divisors (see below), whose sum is σ = 4080722317056. Its totient is φ = 347715486720.

The previous prime is 1310141141039. The next prime is 1310141141051. The reversal of 1310141141040 is 401411410131.

It is a junction number, because it is equal to n+sod(n) for n = 1310141140998 and 1310141141016.

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 31 ways as a sum of consecutive naturals, for example, 50900014 + ... + 50925746.

Almost surely, 2^{1310141141040} is an apocalyptic number.

1310141141040 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 1310141141040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2040361158528).

1310141141040 is an abundant number, since it is smaller than the sum of its proper divisors (2770581176016).

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

1310141141040 is a wasteful number, since it uses less digits than its factorization.

1310141141040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26747 (or 26741 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 21.

Adding to 1310141141040 its reverse (401411410131), we get a palindrome (1711552551171).

The spelling of 1310141141040 in words is "one trillion, three hundred ten billion, one hundred forty-one million, one hundred forty-one thousand, forty".