13131033131310 has 64 divisors (see below), whose sum is σ = 33347838827520. Its totient is φ = 3302190805760.

The previous prime is 13131033131297. The next prime is 13131033131327. The reversal of 13131033131310 is 1313133013131.

It is a super-2 number, since 2×13131033131310² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 133968495 + ... + 134066474.

It is an arithmetic number, because the mean of its divisors is an integer number (521059981680).

Almost surely, 2^{13131033131310} is an apocalyptic number.

13131033131310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13131033131310 is an abundant number, since it is smaller than the sum of its proper divisors (20216805696210).

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

13131033131310 is a wasteful number, since it uses less digits than its factorization.

13131033131310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268035073.

The product of its (nonzero) digits is 729, while the sum is 24.

Adding to 13131033131310 its reverse (1313133013131), we get a palindrome (14444166144441).

The spelling of 13131033131310 in words is "thirteen trillion, one hundred thirty-one billion, thirty-three million, one hundred thirty-one thousand, three hundred ten".