1310100003104 has 96 divisors (see below), whose sum is σ = 2747686399920. Its totient is φ = 613712719872.

The previous prime is 1310100003101. The next prime is 1310100003161. The reversal of 1310100003104 is 4013000010131.

It can be written as a sum of positive squares in 8 ways, for example, as 719015810704 + 591084192400 = 847948^2 + 768820^2 .

It is not an unprimeable number, because it can be changed into a prime (1310100003101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12756182 + ... + 12858474.

Almost surely, 2^{1310100003104} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1310100003104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1373843199960).

1310100003104 is an abundant number, since it is smaller than the sum of its proper divisors (1437586396816).

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

1310100003104 is a wasteful number, since it uses less digits than its factorization.

1310100003104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102742 (or 102734 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 1310100003104 its reverse (4013000010131), we get a palindrome (5323100013235).

The spelling of 1310100003104 in words is "one trillion, three hundred ten billion, one hundred million, three thousand, one hundred four".