1002300213120 has 128 divisors (see below), whose sum is σ = 3205737591840. Its totient is φ = 266367688704.

The previous prime is 1002300213119. The next prime is 1002300213127. The reversal of 1002300213120 is 213120032001.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a self number, because there is not a number n which added to its sum of digits gives 1002300213120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002300213127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 328279 + ... + 1453398.

Almost surely, 2^{1002300213120} is an apocalyptic number.

1002300213120 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 1002300213120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1602868795920).

1002300213120 is an abundant number, since it is smaller than the sum of its proper divisors (2203437378720).

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

1002300213120 is a wasteful number, since it uses less digits than its factorization.

1002300213120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1781992 (or 1781980 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 1002300213120 its reverse (213120032001), we get a palindrome (1215420245121).

The spelling of 1002300213120 in words is "one trillion, two billion, three hundred million, two hundred thirteen thousand, one hundred twenty".