13432103010 has 144 divisors (see below), whose sum is σ = 37391777280. Its totient is φ = 3336163200.

The previous prime is 13432102993. The next prime is 13432103023. The reversal of 13432103010 is 1030123431.

13432103010 is a `hidden beast` number, since 1 + 343 + 21 + 0 + 301 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 6361855 + ... + 6363965.

It is an arithmetic number, because the mean of its divisors is an integer number (259665120).

Almost surely, 2^13432103010 is an apocalyptic number.

13432103010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13432103010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18695888640).

13432103010 is an abundant number, since it is smaller than the sum of its proper divisors (23959674270).

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

13432103010 is a wasteful number, since it uses less digits than its factorization.

13432103010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2265 (or 2201 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 13432103010 its reverse (1030123431), we get a palindrome (14462226441).

The spelling of 13432103010 in words is "thirteen billion, four hundred thirty-two million, one hundred three thousand, ten".