1323100132380 has 288 divisors, whose sum is σ = 4340422195200. Its totient is φ = 324311053824.

The previous prime is 1323100132379. The next prime is 1323100132391. The reversal of 1323100132380 is 832310013231.

1323100132380 is a `hidden beast` number, since 1 + 323 + 10 + 0 + 1 + 323 + 8 + 0 = 666.

It is a super-3 number, since 3×1323100132380³ (a number of 37 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 693811387 + ... + 693813293.

It is an arithmetic number, because the mean of its divisors is an integer number (15070910400).

Almost surely, 2^{1323100132380} is an apocalyptic number.

1323100132380 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 1323100132380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2170211097600).

1323100132380 is an abundant number, since it is smaller than the sum of its proper divisors (3017322062820).

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

1323100132380 is a wasteful number, since it uses less digits than its factorization.

1323100132380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3033 (or 3028 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The spelling of 1323100132380 in words is "one trillion, three hundred twenty-three billion, one hundred million, one hundred thirty-two thousand, three hundred eighty".