1321313320314 has 128 divisors (see below), whose sum is σ = 3240913939200. Its totient is φ = 396437207040.

The previous prime is 1321313320291. The next prime is 1321313320321. The reversal of 1321313320314 is 4130233131231.

1321313320314 is a `hidden beast` number, since 1 + 3 + 2 + 1 + 313 + 32 + 0 + 314 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 61266097 + ... + 61287659.

It is an arithmetic number, because the mean of its divisors is an integer number (25319640150).

Almost surely, 2^{1321313320314} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1321313320314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1620456969600).

1321313320314 is an abundant number, since it is smaller than the sum of its proper divisors (1919600618886).

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

1321313320314 is a wasteful number, since it uses less digits than its factorization.

1321313320314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23757 (or 23751 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 1321313320314 its reverse (4130233131231), we get a palindrome (5451546451545).

The spelling of 1321313320314 in words is "one trillion, three hundred twenty-one billion, three hundred thirteen million, three hundred twenty thousand, three hundred fourteen".