131011131211333 has 16 divisors (see below), whose sum is σ = 131514826884480. Its totient is φ = 130508143911936.

The previous prime is 131011131211297. The next prime is 131011131211351. The reversal of 131011131211333 is 333112131110131.

It is a cyclic number.

It is not a de Polignac number, because 131011131211333 - 2¹⁷ = 131011131080261 is a prime.

It is a super-2 number, since 2×131011131211333² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 131011131211298 and 131011131211307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131011131281333) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4129050013 + ... + 4129081741.

It is an arithmetic number, because the mean of its divisors is an integer number (8219676680280).

Almost surely, 2^{131011131211333} is an apocalyptic number.

It is an amenable number.

131011131211333 is a deficient number, since it is larger than the sum of its proper divisors (503695673147).

131011131211333 is a wasteful number, since it uses less digits than its factorization.

131011131211333 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42396.

The product of its (nonzero) digits is 486, while the sum is 25.

Adding to 131011131211333 its reverse (333112131110131), we get a palindrome (464123262321464).

The spelling of 131011131211333 in words is "one hundred thirty-one trillion, eleven billion, one hundred thirty-one million, two hundred eleven thousand, three hundred thirty-three".