1310414221120 has 112 divisors (see below), whose sum is σ = 3261305532240. Its totient is φ = 500873232384.

The previous prime is 1310414221111. The next prime is 1310414221139. The reversal of 1310414221120 is 211224140131.

It can be written as a sum of positive squares in 8 ways, for example, as 235426803264 + 1074987417856 = 485208^2 + 1036816^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1310414221091 and 1310414221100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 172282 + ... + 1628038.

It is an arithmetic number, because the mean of its divisors is an integer number (29118799395).

Almost surely, 2^{1310414221120} is an apocalyptic number.

1310414221120 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 1310414221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1630652766120).

1310414221120 is an abundant number, since it is smaller than the sum of its proper divisors (1950891311120).

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

1310414221120 is a wasteful number, since it uses less digits than its factorization.

1310414221120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1455900 (or 1455890 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

Adding to 1310414221120 its reverse (211224140131), we get a palindrome (1521638361251).

The spelling of 1310414221120 in words is "one trillion, three hundred ten billion, four hundred fourteen million, two hundred twenty-one thousand, one hundred twenty".