13400010314100 has 180 divisors, whose sum is σ = 43750043568000. Its totient is φ = 3547628331840.

The previous prime is 13400010314063. The next prime is 13400010314101. The reversal of 13400010314100 is 141301000431.

13400010314100 is a `hidden beast` number, since 1 + 340 + 0 + 0 + 1 + 0 + 314 + 10 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13400010314101) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 4824900 + ... + 7076699.

It is an arithmetic number, because the mean of its divisors is an integer number (243055797600).

Almost surely, 2^{13400010314100} is an apocalyptic number.

13400010314100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13400010314100 is an abundant number, since it is smaller than the sum of its proper divisors (30350033253900).

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

13400010314100 is a wasteful number, since it uses less digits than its factorization.

13400010314100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11901764 (or 11901748 counting only the distinct ones).

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

Adding to 13400010314100 its reverse (141301000431), we get a palindrome (13541311314531).

The spelling of 13400010314100 in words is "thirteen trillion, four hundred billion, ten million, three hundred fourteen thousand, one hundred".