13300330133400 has 96 divisors (see below), whose sum is σ = 41257271419200. Its totient is φ = 3544496809600.

The previous prime is 13300330133383. The next prime is 13300330133401. The reversal of 13300330133400 is 433103300331.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13300330133401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6112530 + ... + 7997729.

It is an arithmetic number, because the mean of its divisors is an integer number (429763243950).

Almost surely, 2^{13300330133400} is an apocalyptic number.

13300330133400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13300330133400 is an abundant number, since it is smaller than the sum of its proper divisors (27956941285800).

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

13300330133400 is a wasteful number, since it uses less digits than its factorization.

13300330133400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14111849 (or 14111840 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 24.

Adding to 13300330133400 its reverse (433103300331), we get a palindrome (13733433433731).

The spelling of 13300330133400 in words is "thirteen trillion, three hundred billion, three hundred thirty million, one hundred thirty-three thousand, four hundred".