13105334123400 has 192 divisors, whose sum is σ = 42812643208320. Its totient is φ = 3309712384000.

The previous prime is 13105334123363. The next prime is 13105334123419. The reversal of 13105334123400 is 432143350131.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 3307497 + ... + 6095096.

It is an arithmetic number, because the mean of its divisors is an integer number (222982516710).

Almost surely, 2^{13105334123400} is an apocalyptic number.

13105334123400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13105334123400 is an abundant number, since it is smaller than the sum of its proper divisors (29707309084920).

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

13105334123400 is a wasteful number, since it uses less digits than its factorization.

13105334123400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9402736 (or 9402727 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

Adding to 13105334123400 its reverse (432143350131), we get a palindrome (13537477473531).

The spelling of 13105334123400 in words is "thirteen trillion, one hundred five billion, three hundred thirty-four million, one hundred twenty-three thousand, four hundred".