13301011020400 has 120 divisors (see below), whose sum is σ = 33643098846720. Its totient is φ = 5039552689920.

The previous prime is 13301011020389. The next prime is 13301011020463. The reversal of 13301011020400 is 402011010331.

It is a Harshad number since it is a multiple of its sum of digits (16).

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, 47001729 + ... + 47283871.

It is an arithmetic number, because the mean of its divisors is an integer number (280359157056).

Almost surely, 2^{13301011020400} is an apocalyptic number.

13301011020400 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 13301011020400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16821549423360).

13301011020400 is an abundant number, since it is smaller than the sum of its proper divisors (20342087826320).

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

13301011020400 is a wasteful number, since it uses less digits than its factorization.

13301011020400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288383 (or 288372 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 13301011020400 its reverse (402011010331), we get a palindrome (13703022030731).

The spelling of 13301011020400 in words is "thirteen trillion, three hundred one billion, eleven million, twenty thousand, four hundred".