1310211320100 has 144 divisors (see below), whose sum is σ = 3942631197120. Its totient is φ = 335669644800.

The previous prime is 1310211320029. The next prime is 1310211320137. The reversal of 1310211320100 is 10231120131.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1310211320100.

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 47 ways as a sum of consecutive naturals, for example, 45615 + ... + 1619414.

Almost surely, 2^{1310211320100} is an apocalyptic number.

1310211320100 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 1310211320100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1971315598560).

1310211320100 is an abundant number, since it is smaller than the sum of its proper divisors (2632419877020).

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

1310211320100 is a wasteful number, since it uses less digits than its factorization.

1310211320100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1665150 (or 1665143 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 1310211320100 its reverse (10231120131), we get a palindrome (1320442440231).

The spelling of 1310211320100 in words is "one trillion, three hundred ten billion, two hundred eleven million, three hundred twenty thousand, one hundred".