13431862900 has 144 divisors (see below), whose sum is σ = 30700257280. Its totient is φ = 5094835200.

The previous prime is 13431862849. The next prime is 13431862901. The reversal of 13431862900 is 926813431.

13431862900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 13431862900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13431862901) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 42913144 + ... + 42913456.

Almost surely, 2^13431862900 is an apocalyptic number.

13431862900 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 13431862900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15350128640).

13431862900 is an abundant number, since it is smaller than the sum of its proper divisors (17268394380).

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

13431862900 is a wasteful number, since it uses less digits than its factorization.

13431862900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 594 (or 587 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 37.

The spelling of 13431862900 in words is "thirteen billion, four hundred thirty-one million, eight hundred sixty-two thousand, nine hundred".