1013321301120 has 960 divisors, whose sum is σ = 3873867465600. Its totient is φ = 252364750848.

The previous prime is 1013321301089. The next prime is 1013321301131. The reversal of 1013321301120 is 211031233101.

1013321301120 is a `hidden beast` number, since 10 + 1 + 332 + 1 + 301 + 1 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1013321301093 and 1013321301102.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 3580640499 + ... + 3580640781.

It is an arithmetic number, because the mean of its divisors is an integer number (4035278610).

Almost surely, 2^{1013321301120} is an apocalyptic number.

1013321301120 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 1013321301120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1936933732800).

1013321301120 is an abundant number, since it is smaller than the sum of its proper divisors (2860546164480).

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

1013321301120 is a wasteful number, since it uses less digits than its factorization.

1013321301120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 587 (or 549 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 1013321301120 its reverse (211031233101), we get a palindrome (1224352534221).

The spelling of 1013321301120 in words is "one trillion, thirteen billion, three hundred twenty-one million, three hundred one thousand, one hundred twenty".