2131110320031 has 192 divisors, whose sum is σ = 4098726567936. Its totient is φ = 1074373372800.

The previous prime is 2131110319991. The next prime is 2131110320123. The reversal of 2131110320031 is 1300230111312.

2131110320031 is a `hidden beast` number, since 2 + 1 + 311 + 1 + 0 + 320 + 0 + 31 = 666.

It is not a de Polignac number, because 2131110320031 - 2¹⁰ = 2131110319007 is a prime.

It is a super-2 number, since 2×2131110320031² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2131110319986 and 2131110320013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2131110320831) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 126309526 + ... + 126326396.

It is an arithmetic number, because the mean of its divisors is an integer number (21347534208).

Almost surely, 2^{2131110320031} is an apocalyptic number.

2131110320031 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2131110320031 is a deficient number, since it is larger than the sum of its proper divisors (1967616247905).

2131110320031 is a wasteful number, since it uses less digits than its factorization.

2131110320031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17104 (or 17092 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 2131110320031 its reverse (1300230111312), we get a palindrome (3431340431343).

The spelling of 2131110320031 in words is "two trillion, one hundred thirty-one billion, one hundred ten million, three hundred twenty thousand, thirty-one".