13101040310400 has 1920 divisors, whose sum is σ = 56977089840000. Its totient is φ = 2962842624000.

The previous prime is 13101040310389. The next prime is 13101040310401. The reversal of 13101040310400 is 401304010131.

13101040310400 is a `hidden beast` number, since 1 + 310 + 1 + 0 + 4 + 0 + 310 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (13101040310401) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 8979464871 + ... + 8979466329.

It is an arithmetic number, because the mean of its divisors is an integer number (29675567625).

Almost surely, 2^{13101040310400} is an apocalyptic number.

13101040310400 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 13101040310400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28488544920000).

13101040310400 is an abundant number, since it is smaller than the sum of its proper divisors (43876049529600).

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

13101040310400 is a wasteful number, since it uses less digits than its factorization.

13101040310400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1617 (or 1577 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 13101040310400 its reverse (401304010131), we get a palindrome (13502344320531).

The spelling of 13101040310400 in words is "thirteen trillion, one hundred one billion, forty million, three hundred ten thousand, four hundred".