1013121204320 has 192 divisors, whose sum is σ = 2607611662656. Its totient is φ = 370474352640.

The previous prime is 1013121204317. The next prime is 1013121204323. The reversal of 1013121204320 is 234021213101.

It is an interprime number because it is at equal distance from previous prime (1013121204317) and next prime (1013121204323).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1013121204292 and 1013121204301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1013121204323) 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 31 ways as a sum of consecutive naturals, for example, 21145832 + ... + 21193688.

It is an arithmetic number, because the mean of its divisors is an integer number (13581310743).

Almost surely, 2^{1013121204320} is an apocalyptic number.

1013121204320 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 1013121204320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1303805831328).

1013121204320 is an abundant number, since it is smaller than the sum of its proper divisors (1594490458336).

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

1013121204320 is a wasteful number, since it uses less digits than its factorization.

1013121204320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48113 (or 48105 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 1013121204320 its reverse (234021213101), we get a palindrome (1247142417421).

The spelling of 1013121204320 in words is "one trillion, thirteen billion, one hundred twenty-one million, two hundred four thousand, three hundred twenty".