13133431311 has 192 divisors, whose sum is σ = 25713730560. Its totient is φ = 5752995840.

The previous prime is 13133431253. The next prime is 13133431361. The reversal of 13133431311 is 11313433131.

It is not a de Polignac number, because 13133431311 - 2⁹ = 13133430799 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13133431361) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 32110875 + ... + 32111283.

It is an arithmetic number, because the mean of its divisors is an integer number (133925680).

Almost surely, 2^13133431311 is an apocalyptic number.

13133431311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13133431311 is a deficient number, since it is larger than the sum of its proper divisors (12580299249).

13133431311 is a wasteful number, since it uses less digits than its factorization.

13133431311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 514 (or 497 counting only the distinct ones).

The product of its digits is 972, while the sum is 24.

Adding to 13133431311 its reverse (11313433131), we get a palindrome (24446864442).

It can be divided in two parts, 13133 and 431311, that added together give a palindrome (444444).

The spelling of 13133431311 in words is "thirteen billion, one hundred thirty-three million, four hundred thirty-one thousand, three hundred eleven".