10513430400 has 192 divisors, whose sum is σ = 37777046400. Its totient is φ = 2548684800.

The previous prime is 10513430393. The next prime is 10513430419. The reversal of 10513430400 is 403431501.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×10513430400² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 55821 + ... + 155379.

It is an arithmetic number, because the mean of its divisors is an integer number (196755450).

Almost surely, 2^10513430400 is an apocalyptic number.

10513430400 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 10513430400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18888523200).

10513430400 is an abundant number, since it is smaller than the sum of its proper divisors (27263616000).

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

10513430400 is a wasteful number, since it uses less digits than its factorization.

10513430400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99597 (or 99580 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

Adding to 10513430400 its reverse (403431501), we get a palindrome (10916861901).

The spelling of 10513430400 in words is "ten billion, five hundred thirteen million, four hundred thirty thousand, four hundred".