1381332100 has 72 divisors (see below), whose sum is σ = 3178074368. Its totient is φ = 520214400.

The previous prime is 1381332067. The next prime is 1381332101. The reversal of 1381332100 is 12331831.

It is not an unprimeable number, because it can be changed into a prime (1381332101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 108679 + ... + 120721.

Almost surely, 2^1381332100 is an apocalyptic number.

1381332100 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 1381332100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1589037184).

1381332100 is an abundant number, since it is smaller than the sum of its proper divisors (1796742268).

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

1381332100 is a wasteful number, since it uses less digits than its factorization.

1381332100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12125 (or 12118 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

The square root of 1381332100 is about 37166.2763806115. The cubic root of 1381332100 is about 1113.6943970565.

Adding to 1381332100 its reverse (12331831), we get a palindrome (1393663931).

The spelling of 1381332100 in words is "one billion, three hundred eighty-one million, three hundred thirty-two thousand, one hundred".