13123314524160 has 448 divisors, whose sum is σ = 48266834428800. Its totient is φ = 3378868125696.

The previous prime is 13123314524149. The next prime is 13123314524171. The reversal of 13123314524160 is 6142541332131.

13123314524160 is a `hidden beast` number, since 1 + 3 + 1 + 233 + 1 + 4 + 5 + 2 + 416 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (13123314524149) and next prime (13123314524171).

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31867087 + ... + 32276273.

Almost surely, 2^{13123314524160} is an apocalyptic number.

13123314524160 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 13123314524160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24133417214400).

13123314524160 is an abundant number, since it is smaller than the sum of its proper divisors (35143519904640).

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

13123314524160 is an equidigital number, since it uses as much as digits as its factorization.

13123314524160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 409256 (or 409226 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

Adding to 13123314524160 its reverse (6142541332131), we get a palindrome (19265855856291).

The spelling of 13123314524160 in words is "thirteen trillion, one hundred twenty-three billion, three hundred fourteen million, five hundred twenty-four thousand, one hundred sixty".