1013320001100 has 288 divisors, whose sum is σ = 3221600304384. Its totient is φ = 243877478400.

The previous prime is 1013320001077. The next prime is 1013320001137. The reversal of 1013320001100 is 11000233101.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 377680359 + ... + 377683041.

It is an arithmetic number, because the mean of its divisors is an integer number (11186112168).

Almost surely, 2^{1013320001100} is an apocalyptic number.

1013320001100 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 1013320001100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1610800152192).

1013320001100 is an abundant number, since it is smaller than the sum of its proper divisors (2208280303284).

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

1013320001100 is a wasteful number, since it uses less digits than its factorization.

1013320001100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3497 (or 3490 counting only the distinct ones).

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

Adding to 1013320001100 its reverse (11000233101), we get a palindrome (1024320234201).

The spelling of 1013320001100 in words is "one trillion, thirteen billion, three hundred twenty million, one thousand, one hundred".