13120431311 has 32 divisors (see below), whose sum is σ = 14834749440. Its totient is φ = 11525918976.

The previous prime is 13120431307. The next prime is 13120431347. The reversal of 13120431311 is 11313402131.

13120431311 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13120431311 - 2² = 13120431307 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13120431301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3231995 + ... + 3236051.

It is an arithmetic number, because the mean of its divisors is an integer number (463585920).

Almost surely, 2^13120431311 is an apocalyptic number.

13120431311 is a deficient number, since it is larger than the sum of its proper divisors (1714318129).

13120431311 is a wasteful number, since it uses less digits than its factorization.

13120431311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4263.

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 13120431311 its reverse (11313402131), we get a palindrome (24433833442).

The spelling of 13120431311 in words is "thirteen billion, one hundred twenty million, four hundred thirty-one thousand, three hundred eleven".