13134314138400 has 2160 divisors, whose sum is σ = 60625332605376. Its totient is φ = 2694641541120.

The previous prime is 13134314138377. The next prime is 13134314138411. The reversal of 13134314138400 is 483141343131.

13134314138400 is a `hidden beast` number, since 1 + 3 + 134 + 3 + 141 + 384 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a super-3 number, since 3×13134314138400³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 8072718387 + ... + 8072720013.

Almost surely, 2^{13134314138400} is an apocalyptic number.

13134314138400 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 13134314138400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30312666302688).

13134314138400 is an abundant number, since it is smaller than the sum of its proper divisors (47491018466976).

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

13134314138400 is a wasteful number, since it uses less digits than its factorization.

13134314138400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1753 (or 1694 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 13134314138400 in words is "thirteen trillion, one hundred thirty-four billion, three hundred fourteen million, one hundred thirty-eight thousand, four hundred".