121313320 has 64 divisors (see below), whose sum is σ = 281413440. Its totient is φ = 47040000.

The previous prime is 121313317. The next prime is 121313359. The reversal of 121313320 is 23313121.

It is a junction number, because it is equal to n+sod(n) for n = 121313294 and 121313303.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 431580 + ... + 431860.

It is an arithmetic number, because the mean of its divisors is an integer number (4397085).

Almost surely, 2^121313320 is an apocalyptic number.

121313320 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 121313320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140706720).

121313320 is an abundant number, since it is smaller than the sum of its proper divisors (160100120).

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

121313320 is a wasteful number, since it uses less digits than its factorization.

121313320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 586 (or 582 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 121313320 is about 11014.2326105816. The cubic root of 121313320 is about 495.0352932017.

Adding to 121313320 its reverse (23313121), we get a palindrome (144626441).

It can be divided in two parts, 12131 and 3320, that added together give a palindrome (15451).

The spelling of 121313320 in words is "one hundred twenty-one million, three hundred thirteen thousand, three hundred twenty".