131111013033 has 48 divisors (see below), whose sum is σ = 254275921536. Its totient is φ = 62870411520.

The previous prime is 131111013031. The next prime is 131111013049. The reversal of 131111013033 is 330310111131.

It is not a de Polignac number, because 131111013033 - 2¹ = 131111013031 is a prime.

It is a super-3 number, since 3×131111013033³ (a number of 34 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 131111012997 and 131111013015.

It is not an unprimeable number, because it can be changed into a prime (131111013031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7267660 + ... + 7285677.

It is an arithmetic number, because the mean of its divisors is an integer number (5297415032).

Almost surely, 2^131111013033 is an apocalyptic number.

131111013033 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

131111013033 is a deficient number, since it is larger than the sum of its proper divisors (123164908503).

131111013033 is a wasteful number, since it uses less digits than its factorization.

131111013033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14553374 (or 14553371 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 18.

Adding to 131111013033 its reverse (330310111131), we get a palindrome (461421124164).

The spelling of 131111013033 in words is "one hundred thirty-one billion, one hundred eleven million, thirteen thousand, thirty-three".