13310131310010 has 24 divisors (see below), whose sum is σ = 34606341406260. Its totient is φ = 3549368349312.

The previous prime is 13310131310009. The next prime is 13310131310011. The reversal of 13310131310010 is 1001313101331.

13310131310010 is a `hidden beast` number, since 1 + 3 + 310 + 1 + 31 + 310 + 0 + 10 = 666.

It is an interprime number because it is at equal distance from previous prime (13310131310009) and next prime (13310131310011).

It can be written as a sum of positive squares in 2 ways, for example, as 13174569643041 + 135561666969 = 3629679^2 + 368187^2 .

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

It is not an unprimeable number, because it can be changed into a prime (13310131310011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 73945173855 + ... + 73945174034.

Almost surely, 2^{13310131310010} is an apocalyptic number.

13310131310010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13310131310010 is an abundant number, since it is smaller than the sum of its proper divisors (21296210096250).

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

13310131310010 is a wasteful number, since it uses less digits than its factorization.

13310131310010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147890347902 (or 147890347899 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 18.

Adding to 13310131310010 its reverse (1001313101331), we get a palindrome (14311444411341).

The spelling of 13310131310010 in words is "thirteen trillion, three hundred ten billion, one hundred thirty-one million, three hundred ten thousand, ten".