1321344114100 has 36 divisors (see below), whose sum is σ = 2867372312364. Its totient is φ = 528527399680.

The previous prime is 1321344114073. The next prime is 1321344114127. The reversal of 1321344114100 is 14114431231.

It is an interprime number because it is at equal distance from previous prime (1321344114073) and next prime (1321344114127).

It can be written as a sum of positive squares in 6 ways, for example, as 248619909924 + 1072724204176 = 498618^2 + 1035724^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7067424 + ... + 7251976.

It is an arithmetic number, because the mean of its divisors is an integer number (79649230899).

Almost surely, 2^{1321344114100} is an apocalyptic number.

1321344114100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1321344114100 is an abundant number, since it is smaller than the sum of its proper divisors (1546028198264).

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

1321344114100 is a wasteful number, since it uses less digits than its factorization.

1321344114100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256164 (or 256157 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

Adding to 1321344114100 its reverse (14114431231), we get a palindrome (1335458545331).

The spelling of 1321344114100 in words is "one trillion, three hundred twenty-one billion, three hundred forty-four million, one hundred fourteen thousand, one hundred".