13312220101040 has 80 divisors (see below), whose sum is σ = 35557667020800. Its totient is φ = 4540293431040.

The previous prime is 13312220101013. The next prime is 13312220101099. The reversal of 13312220101040 is 4010102221331.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62122940 + ... + 62336859.

It is an arithmetic number, because the mean of its divisors is an integer number (444470837760).

Almost surely, 2^{13312220101040} is an apocalyptic number.

13312220101040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13312220101040 is an abundant number, since it is smaller than the sum of its proper divisors (22245446919760).

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

13312220101040 is a wasteful number, since it uses less digits than its factorization.

13312220101040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124460010 (or 124460004 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 13312220101040 its reverse (4010102221331), we get a palindrome (17322322322371).

The spelling of 13312220101040 in words is "thirteen trillion, three hundred twelve billion, two hundred twenty million, one hundred one thousand, forty".