1320032314100 has 54 divisors (see below), whose sum is σ = 2936039647842. Its totient is φ = 515134496000.

The previous prime is 1320032314091. The next prime is 1320032314103. The reversal of 1320032314100 is 14132300231.

It can be written as a sum of positive squares in 9 ways, for example, as 656560160656 + 663472153444 = 810284^2 + 814538^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1320032314103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3758231 + ... + 4094430.

Almost surely, 2^{1320032314100} is an apocalyptic number.

1320032314100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1320032314100 is an abundant number, since it is smaller than the sum of its proper divisors (1616007333742).

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

1320032314100 is a wasteful number, since it uses less digits than its factorization.

1320032314100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7852757 (or 7852709 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 1320032314100 its reverse (14132300231), we get a palindrome (1334164614331).

The spelling of 1320032314100 in words is "one trillion, three hundred twenty billion, thirty-two million, three hundred fourteen thousand, one hundred".