13120120311 has 16 divisors (see below), whose sum is σ = 18953282304. Its totient is φ = 8040783744.

The previous prime is 13120120309. The next prime is 13120120313. The reversal of 13120120311 is 11302102131.

It is a happy number.

13120120311 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13120120309) and next prime (13120120313).

It is not a de Polignac number, because 13120120311 - 2¹ = 13120120309 is a prime.

It is a super-2 number, since 2×13120120311² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13120120313) 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 15 ways as a sum of consecutive naturals, for example, 2989171 + ... + 2993556.

It is an arithmetic number, because the mean of its divisors is an integer number (1184580144).

Almost surely, 2^13120120311 is an apocalyptic number.

13120120311 is a deficient number, since it is larger than the sum of its proper divisors (5833161993).

13120120311 is a wasteful number, since it uses less digits than its factorization.

13120120311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5982790.

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 13120120311 its reverse (11302102131), we get a palindrome (24422222442).

The spelling of 13120120311 in words is "thirteen billion, one hundred twenty million, one hundred twenty thousand, three hundred eleven".