1311120330210 has 128 divisors (see below), whose sum is σ = 3611069890560. Its totient is φ = 338309189568.

The previous prime is 1311120330203. The next prime is 1311120330217. The reversal of 1311120330210 is 120330211131.

1311120330210 is a `hidden beast` number, since 1 + 3 + 1 + 1 + 120 + 330 + 210 = 666.

It is an interprime number because it is at equal distance from previous prime (1311120330203) and next prime (1311120330217).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1311120330217) 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 63 ways as a sum of consecutive naturals, for example, 714559 + ... + 1769981.

It is an arithmetic number, because the mean of its divisors is an integer number (28211483520).

Almost surely, 2^{1311120330210} is an apocalyptic number.

1311120330210 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 1311120330210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1805534945280).

1311120330210 is an abundant number, since it is smaller than the sum of its proper divisors (2299949560350).

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

1311120330210 is a wasteful number, since it uses less digits than its factorization.

1311120330210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1055589 (or 1055583 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 1311120330210 its reverse (120330211131), we get a palindrome (1431450541341).

The spelling of 1311120330210 in words is "one trillion, three hundred eleven billion, one hundred twenty million, three hundred thirty thousand, two hundred ten".