13134312826240 has 32 divisors (see below), whose sum is σ = 31399216601760. Its totient is φ = 5253725130240.

The previous prime is 13134312826211. The next prime is 13134312826247. The reversal of 13134312826240 is 4262821343131.

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 13134312826193 and 13134312826202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13134312826247) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10261181256 + ... + 10261182535.

It is an arithmetic number, because the mean of its divisors is an integer number (981225518805).

Almost surely, 2^{13134312826240} is an apocalyptic number.

13134312826240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13134312826240 is an abundant number, since it is smaller than the sum of its proper divisors (18264903775520).

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

13134312826240 is an equidigital number, since it uses as much as digits as its factorization.

13134312826240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20522363810 (or 20522363798 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 40.

The spelling of 13134312826240 in words is "thirteen trillion, one hundred thirty-four billion, three hundred twelve million, eight hundred twenty-six thousand, two hundred forty".