1341432100 has 72 divisors (see below), whose sum is σ = 2951764200. Its totient is φ = 529105920.

The previous prime is 1341432097. The next prime is 1341432161. The reversal of 1341432100 is 12341431.

It can be written as a sum of positive squares in 12 ways, for example, as 67798756 + 1273633344 = 8234^2 + 35688^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2935072 + ... + 2935528.

It is an arithmetic number, because the mean of its divisors is an integer number (40996725).

Almost surely, 2^1341432100 is an apocalyptic number.

1341432100 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 1341432100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1475882100).

1341432100 is an abundant number, since it is smaller than the sum of its proper divisors (1610332100).

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

1341432100 is a wasteful number, since it uses less digits than its factorization.

1341432100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 817 (or 810 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 1341432100 is about 36625.5662072274. The cubic root of 1341432100 is about 1102.8663810431.

Adding to 1341432100 its reverse (12341431), we get a palindrome (1353773531).

The spelling of 1341432100 in words is "one billion, three hundred forty-one million, four hundred thirty-two thousand, one hundred".