1330213110000 has 400 divisors, whose sum is σ = 4588604301600. Its totient is φ = 330780672000.

The previous prime is 1330213109999. The next prime is 1330213110029. The reversal of 1330213110000 is 113120331.

It is a tau number, because it is divible by the number of its divisors (400).

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

It is a congruent number.

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 55578036 + ... + 55601964.

It is an arithmetic number, because the mean of its divisors is an integer number (11471510754).

Almost surely, 2^{1330213110000} is an apocalyptic number.

1330213110000 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 1330213110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2294302150800).

1330213110000 is an abundant number, since it is smaller than the sum of its proper divisors (3258391191600).

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

1330213110000 is a wasteful number, since it uses less digits than its factorization.

1330213110000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24086 (or 24065 counting only the distinct ones).

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

Adding to 1330213110000 its reverse (113120331), we get a palindrome (1330326230331).

The spelling of 1330213110000 in words is "one trillion, three hundred thirty billion, two hundred thirteen million, one hundred ten thousand".