1330100113020 has 192 divisors, whose sum is σ = 4290920718336. Its totient is φ = 301557484800.

The previous prime is 1330100112977. The next prime is 1330100113021. The reversal of 1330100113020 is 203110010331.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1330100113021) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 43300507 + ... + 43331213.

It is an arithmetic number, because the mean of its divisors is an integer number (22348545408).

Almost surely, 2^{1330100113020} is an apocalyptic number.

1330100113020 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 1330100113020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2145460359168).

1330100113020 is an abundant number, since it is smaller than the sum of its proper divisors (2960820605316).

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

1330100113020 is a wasteful number, since it uses less digits than its factorization.

1330100113020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31560 (or 31558 counting only the distinct ones).

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

Adding to 1330100113020 its reverse (203110010331), we get a palindrome (1533210123351).

The spelling of 1330100113020 in words is "one trillion, three hundred thirty billion, one hundred million, one hundred thirteen thousand, twenty".