13023131002011 has 48 divisors (see below), whose sum is σ = 20347654227264. Its totient is φ = 7978911075072.

The previous prime is 13023131001997. The next prime is 13023131002039. The reversal of 13023131002011 is 11020013132031.

13023131002011 is a `hidden beast` number, since 1 + 302 + 31 + 310 + 0 + 20 + 1 + 1 = 666.

It is not a de Polignac number, because 13023131002011 - 2¹⁸ = 13023130739867 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13023131002051) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 29339650 + ... + 29780216.

It is an arithmetic number, because the mean of its divisors is an integer number (423909463068).

Almost surely, 2^{13023131002011} is an apocalyptic number.

13023131002011 is a deficient number, since it is larger than the sum of its proper divisors (7324523225253).

13023131002011 is a wasteful number, since it uses less digits than its factorization.

13023131002011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 441700 (or 441697 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 13023131002011 its reverse (11020013132031), we get a palindrome (24043144134042).

It can be divided in two parts, 1302313 and 1002011, that added together give a square (2304324 = 1518²).

The spelling of 13023131002011 in words is "thirteen trillion, twenty-three billion, one hundred thirty-one million, two thousand, eleven".