13131003130311 has 32 divisors (see below), whose sum is σ = 19135123612416. Its totient is φ = 7943403456000.

The previous prime is 13131003130277. The next prime is 13131003130321. The reversal of 13131003130311 is 11303130013131.

It is not a de Polignac number, because 13131003130311 - 2⁹ = 13131003129799 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13131003130321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 134792841 + ... + 134890221.

It is an arithmetic number, because the mean of its divisors is an integer number (597972612888).

Almost surely, 2^{13131003130311} is an apocalyptic number.

13131003130311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13131003130311 is a deficient number, since it is larger than the sum of its proper divisors (6004120482105).

13131003130311 is a wasteful number, since it uses less digits than its factorization.

13131003130311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104943.

The product of its (nonzero) digits is 243, while the sum is 21.

Adding to 13131003130311 its reverse (11303130013131), we get a palindrome (24434133143442).

The spelling of 13131003130311 in words is "thirteen trillion, one hundred thirty-one billion, three million, one hundred thirty thousand, three hundred eleven".