1302313121120 has 96 divisors (see below), whose sum is σ = 3357292893696. Its totient is φ = 473444697600.

The previous prime is 1302313121107. The next prime is 1302313121149. The reversal of 1302313121120 is 211213132031.

It is a happy number.

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 = 1302313121092 and 1302313121101.

It is a congruent number.

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, 6781625 + ... + 6971015.

It is an arithmetic number, because the mean of its divisors is an integer number (34971800976).

Almost surely, 2^{1302313121120} is an apocalyptic number.

1302313121120 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 1302313121120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1678646446848).

1302313121120 is an abundant number, since it is smaller than the sum of its proper divisors (2054979772576).

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

1302313121120 is a wasteful number, since it uses less digits than its factorization.

1302313121120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193324 (or 193316 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 1302313121120 its reverse (211213132031), we get a palindrome (1513526253151).

The spelling of 1302313121120 in words is "one trillion, three hundred two billion, three hundred thirteen million, one hundred twenty-one thousand, one hundred twenty".