13053002400000 has 324 divisors, whose sum is σ = 47040794954244. Its totient is φ = 3480798720000.

The previous prime is 13053002399963. The next prime is 13053002400049. The reversal of 13053002400000 is 420035031.

13053002400000 is a `hidden beast` number, since 130 + 530 + 0 + 2 + 4 + 0 + 0 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 12851020468224 + 201981931776 = 3584832^2 + 449424^2 .

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

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, 6293542 + ... + 8106458.

Almost surely, 2^{13053002400000} is an apocalyptic number.

13053002400000 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 13053002400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23520397477122).

13053002400000 is an abundant number, since it is smaller than the sum of its proper divisors (33987792554244).

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

13053002400000 is an frugal number, since it uses more digits than its factorization.

13053002400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1812964 (or 1812927 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

Adding to 13053002400000 its reverse (420035031), we get a palindrome (13053422435031).

The spelling of 13053002400000 in words is "thirteen trillion, fifty-three billion, two million, four hundred thousand".