13301130400400 has 120 divisors (see below), whose sum is σ = 32286636529704. Its totient is φ = 5265444352000.

The previous prime is 13301130400399. The next prime is 13301130400427. The reversal of 13301130400400 is 400403110331.

It can be written as a sum of positive squares in 12 ways, for example, as 4364689785856 + 8936440614544 = 2089184^2 + 2989388^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 92727134 + ... + 92870466.

Almost surely, 2^{13301130400400} is an apocalyptic number.

13301130400400 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 13301130400400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16143318264852).

13301130400400 is an abundant number, since it is smaller than the sum of its proper divisors (18985506129304).

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

13301130400400 is a wasteful number, since it uses less digits than its factorization.

13301130400400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145749 (or 145738 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 13301130400400 its reverse (400403110331), we get a palindrome (13701533510731).

The spelling of 13301130400400 in words is "thirteen trillion, three hundred one billion, one hundred thirty million, four hundred thousand, four hundred".