1330111310100 has 144 divisors (see below), whose sum is σ = 3898932327360. Its totient is φ = 350058931200.

The previous prime is 1330111310063. The next prime is 1330111310137. The reversal of 1330111310100 is 10131110331.

It is an interprime number because it is at equal distance from previous prime (1330111310063) and next prime (1330111310137).

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 1330111310100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14398659 + ... + 14490741.

It is an arithmetic number, because the mean of its divisors is an integer number (27075918940).

Almost surely, 2^{1330111310100} is an apocalyptic number.

1330111310100 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 1330111310100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1949466163680).

1330111310100 is an abundant number, since it is smaller than the sum of its proper divisors (2568821017260).

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

1330111310100 is a wasteful number, since it uses less digits than its factorization.

1330111310100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92730 (or 92723 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 15.

Adding to 1330111310100 its reverse (10131110331), we get a palindrome (1340242420431).

The spelling of 1330111310100 in words is "one trillion, three hundred thirty billion, one hundred eleven million, three hundred ten thousand, one hundred".