13057103800 has 96 divisors (see below), whose sum is σ = 32865396480. Its totient is φ = 4795660800.

The previous prime is 13057103771. The next prime is 13057103803. The reversal of 13057103800 is 830175031.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13057103803) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 483454 + ... + 509746.

It is an arithmetic number, because the mean of its divisors is an integer number (342347880).

Almost surely, 2^13057103800 is an apocalyptic number.

13057103800 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 13057103800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16432698240).

13057103800 is an abundant number, since it is smaller than the sum of its proper divisors (19808292680).

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

13057103800 is a wasteful number, since it uses less digits than its factorization.

13057103800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26513 (or 26504 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 28.

Adding to 13057103800 its reverse (830175031), we get a palindrome (13887278831).

The spelling of 13057103800 in words is "thirteen billion, fifty-seven million, one hundred three thousand, eight hundred".