1331130000210 has 128 divisors (see below), whose sum is σ = 3313972569600. Its totient is φ = 341785866240.

The previous prime is 1331130000209. The next prime is 1331130000217. The reversal of 1331130000210 is 120000311331.

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 1331130000210.

It is not an unprimeable number, because it can be changed into a prime (1331130000217) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 720697507 + ... + 720699353.

It is an arithmetic number, because the mean of its divisors is an integer number (25890410700).

Almost surely, 2^{1331130000210} is an apocalyptic number.

1331130000210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1331130000210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1656986284800).

1331130000210 is an abundant number, since it is smaller than the sum of its proper divisors (1982842569390).

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

1331130000210 is a wasteful number, since it uses less digits than its factorization.

1331130000210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3716.

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 1331130000210 its reverse (120000311331), we get a palindrome (1451130311541).

The spelling of 1331130000210 in words is "one trillion, three hundred thirty-one billion, one hundred thirty million, two hundred ten", and thus it is an aban number.