1322131100 has 72 divisors (see below), whose sum is σ = 2983486128. Its totient is φ = 508147200.

The previous prime is 1322131099. The next prime is 1322131117. The reversal of 1322131100 is 11312231.

It is a super-3 number, since 3×1322131100³ (a number of 28 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 (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 272294 + ... + 277106.

Almost surely, 2^1322131100 is an apocalyptic number.

1322131100 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 1322131100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1491743064).

1322131100 is an abundant number, since it is smaller than the sum of its proper divisors (1661355028).

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

1322131100 is a wasteful number, since it uses less digits than its factorization.

1322131100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4935 (or 4928 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 1322131100 is about 36361.1207198018. The cubic root of 1322131100 is about 1097.5513300090.

Adding to 1322131100 its reverse (11312231), we get a palindrome (1333443331).

It can be divided in two parts, 1322131 and 100, that added together give a palindrome (1322231).

The spelling of 1322131100 in words is "one billion, three hundred twenty-two million, one hundred thirty-one thousand, one hundred".