13121100133400 has 192 divisors, whose sum is σ = 35096459129280. Its totient is φ = 4468766515200.

The previous prime is 13121100133399. The next prime is 13121100133411. The reversal of 13121100133400 is 433100112131.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1158999740 + ... + 1159011060.

It is an arithmetic number, because the mean of its divisors is an integer number (182794057965).

Almost surely, 2^{13121100133400} is an apocalyptic number.

13121100133400 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 13121100133400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17548229564640).

13121100133400 is an abundant number, since it is smaller than the sum of its proper divisors (21975358995880).

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

13121100133400 is a wasteful number, since it uses less digits than its factorization.

13121100133400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16774 (or 16765 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 13121100133400 its reverse (433100112131), we get a palindrome (13554200245531).

The spelling of 13121100133400 in words is "thirteen trillion, one hundred twenty-one billion, one hundred million, one hundred thirty-three thousand, four hundred".