13157103432 has 192 divisors, whose sum is σ = 38217816000. Its totient is φ = 3761303040.

The previous prime is 13157103431. The next prime is 13157103457. The reversal of 13157103432 is 23430175131.

It is a self number, because there is not a number n which added to its sum of digits gives 13157103432.

It is not an unprimeable number, because it can be changed into a prime (13157103431) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21463158 + ... + 21463770.

It is an arithmetic number, because the mean of its divisors is an integer number (199051125).

Almost surely, 2^13157103432 is an apocalyptic number.

13157103432 is a gapful number since it is divisible by the number (12) 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 13157103432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19108908000).

13157103432 is an abundant number, since it is smaller than the sum of its proper divisors (25060712568).

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

13157103432 is a wasteful number, since it uses less digits than its factorization.

13157103432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1052 (or 1037 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 30.

Adding to 13157103432 its reverse (23430175131), we get a palindrome (36587278563).

The spelling of 13157103432 in words is "thirteen billion, one hundred fifty-seven million, one hundred three thousand, four hundred thirty-two".