1310434101240 has 128 divisors (see below), whose sum is σ = 4289856595200. Its totient is φ = 317594833920.

The previous prime is 1310434101239. The next prime is 1310434101269. The reversal of 1310434101240 is 421014340131.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1310434101240.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4802724 + ... + 5068236.

It is an arithmetic number, because the mean of its divisors is an integer number (33514504650).

Almost surely, 2^{1310434101240} is an apocalyptic number.

1310434101240 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 1310434101240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2144928297600).

1310434101240 is an abundant number, since it is smaller than the sum of its proper divisors (2979422493960).

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

1310434101240 is a wasteful number, since it uses less digits than its factorization.

1310434101240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269277 (or 269273 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 1310434101240 its reverse (421014340131), we get a palindrome (1731448441371).

The spelling of 1310434101240 in words is "one trillion, three hundred ten billion, four hundred thirty-four million, one hundred one thousand, two hundred forty".