13030534540800 has 1200 divisors, whose sum is σ = 55816666076160. Its totient is φ = 2940577136640.

The previous prime is 13030534540739. The next prime is 13030534540831. The reversal of 13030534540800 is 804543503031.

13030534540800 is a `hidden beast` number, since 1 + 3 + 0 + 3 + 0 + 5 + 34 + 540 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 573339037 + ... + 573361763.

Almost surely, 2^{13030534540800} is an apocalyptic number.

13030534540800 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 13030534540800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27908333038080).

13030534540800 is an abundant number, since it is smaller than the sum of its proper divisors (42786131535360).

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

13030534540800 is an equidigital number, since it uses as much as digits as its factorization.

13030534540800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22853 (or 22823 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 13030534540800 in words is "thirteen trillion, thirty billion, five hundred thirty-four million, five hundred forty thousand, eight hundred".