1320213000100 has 144 divisors (see below), whose sum is σ = 2969234456832. Its totient is φ = 509227683840.

The previous prime is 1320213000049. The next prime is 1320213000103. The reversal of 1320213000100 is 10003120231.

It is not an unprimeable number, because it can be changed into a prime (1320213000103) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 103482922 + ... + 103495678.

It is an arithmetic number, because the mean of its divisors is an integer number (20619683728).

Almost surely, 2^{1320213000100} is an apocalyptic number.

1320213000100 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 1320213000100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1484617228416).

1320213000100 is an abundant number, since it is smaller than the sum of its proper divisors (1649021456732).

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

1320213000100 is a wasteful number, since it uses less digits than its factorization.

1320213000100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13142 (or 13135 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 1320213000100 its reverse (10003120231), we get a palindrome (1330216120331).

The spelling of 1320213000100 in words is "one trillion, three hundred twenty billion, two hundred thirteen million, one hundred", and thus it is an aban number.