1310211010100 has 144 divisors (see below), whose sum is σ = 2949481064880. Its totient is φ = 504845107200.

The previous prime is 1310211010099. The next prime is 1310211010103. The reversal of 1310211010100 is 10101120131.

It is a happy number.

It can be written as a sum of positive squares in 24 ways, for example, as 875953733776 + 434257276324 = 935924^2 + 658982^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1310211010103) 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 47 ways as a sum of consecutive naturals, for example, 124622444 + ... + 124632956.

It is an arithmetic number, because the mean of its divisors is an integer number (20482507395).

Almost surely, 2^{1310211010100} is an apocalyptic number.

1310211010100 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 1310211010100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1474740532440).

1310211010100 is an abundant number, since it is smaller than the sum of its proper divisors (1639270054780).

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

1310211010100 is a wasteful number, since it uses less digits than its factorization.

1310211010100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10950 (or 10943 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 11.

Adding to 1310211010100 its reverse (10101120131), we get a palindrome (1320312130231).

The spelling of 1310211010100 in words is "one trillion, three hundred ten billion, two hundred eleven million, ten thousand, one hundred".