1320013101000 has 256 divisors, whose sum is σ = 4494460089600. Its totient is φ = 319888128000.

The previous prime is 1320013100993. The next prime is 1320013101037. The reversal of 1320013101000 is 1013100231.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

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, 124371694 + ... + 124382306.

It is an arithmetic number, because the mean of its divisors is an integer number (17556484725).

Almost surely, 2^{1320013101000} is an apocalyptic number.

1320013101000 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 1320013101000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2247230044800).

1320013101000 is an abundant number, since it is smaller than the sum of its proper divisors (3174446988600).

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

1320013101000 is a wasteful number, since it uses less digits than its factorization.

1320013101000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14417 (or 14403 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 1320013101000 its reverse (1013100231), we get a palindrome (1321026201231).

The spelling of 1320013101000 in words is "one trillion, three hundred twenty billion, thirteen million, one hundred one thousand".