131033223321013 has 16 divisors (see below), whose sum is σ = 150026301774720. Its totient is φ = 113511963749184.

The previous prime is 131033223320983. The next prime is 131033223321037. The reversal of 131033223321013 is 310123322330131.

It is a happy number.

It is not a de Polignac number, because 131033223321013 - 2²⁹ = 131032686450101 is a prime.

It is a super-2 number, since 2×131033223321013² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131033223321053) 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, 4134306843 + ... + 4134338536.

It is an arithmetic number, because the mean of its divisors is an integer number (9376643860920).

Almost surely, 2^{131033223321013} is an apocalyptic number.

131033223321013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

131033223321013 is a deficient number, since it is larger than the sum of its proper divisors (18993078453707).

131033223321013 is a wasteful number, since it uses less digits than its factorization.

131033223321013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8268645468.

The product of its (nonzero) digits is 5832, while the sum is 28.

Adding to 131033223321013 its reverse (310123322330131), we get a palindrome (441156545651144).

The spelling of 131033223321013 in words is "one hundred thirty-one trillion, thirty-three billion, two hundred twenty-three million, three hundred twenty-one thousand, thirteen".