10531013432400 has 180 divisors, whose sum is σ = 36548355203100. Its totient is φ = 2808054067200.

The previous prime is 10531013432377. The next prime is 10531013432419. The reversal of 10531013432400 is 423431013501.

It is a happy number.

10531013432400 is a `hidden beast` number, since 1 + 0 + 5 + 310 + 1 + 343 + 2 + 4 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 24313541184 + 10506699891216 = 155928^2 + 3241404^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×10531013432400² (a number of 27 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 35 ways as a sum of consecutive naturals, for example, 49721926 + ... + 49933274.

It is an arithmetic number, because the mean of its divisors is an integer number (203046417795).

Almost surely, 2^{10531013432400} is an apocalyptic number.

10531013432400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10531013432400 is an abundant number, since it is smaller than the sum of its proper divisors (26017341770700).

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

10531013432400 is a wasteful number, since it uses less digits than its factorization.

10531013432400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225214 (or 225200 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 10531013432400 its reverse (423431013501), we get a palindrome (10954444445901).

The spelling of 10531013432400 in words is "ten trillion, five hundred thirty-one billion, thirteen million, four hundred thirty-two thousand, four hundred".