13103042400 has 864 divisors, whose sum is σ = 57428699328. Its totient is φ = 2742681600.

The previous prime is 13103042389. The next prime is 13103042401. The reversal of 13103042400 is 424030131.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13103042401) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 35128614 + ... + 35128986.

It is an arithmetic number, because the mean of its divisors is an integer number (66468402).

Almost surely, 2^13103042400 is an apocalyptic number.

13103042400 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 13103042400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28714349664).

13103042400 is an abundant number, since it is smaller than the sum of its proper divisors (44325656928).

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

13103042400 is a wasteful number, since it uses less digits than its factorization.

13103042400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 464 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 13103042400 its reverse (424030131), we get a palindrome (13527072531).

The spelling of 13103042400 in words is "thirteen billion, one hundred three million, forty-two thousand, four hundred".