2130100031 has 2 divisors, whose sum is σ = 2130100032. Its totient is φ = 2130100030.

The previous prime is 2130100001. The next prime is 2130100033. The reversal of 2130100031 is 1300010312.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 2130100031 - 2¹⁸ = 2129837887 is a prime.

It is a super-2 number, since 2×2130100031² = 9074652284132401922, which contains 22 as substring.

Together with 2130100033, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 2130099985 and 2130100021.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2130100033) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1065050015 + 1065050016.

It is an arithmetic number, because the mean of its divisors is an integer number (1065050016).

Almost surely, 2^2130100031 is an apocalyptic number.

2130100031 is a deficient number, since it is larger than the sum of its proper divisors (1).

2130100031 is an equidigital number, since it uses as much as digits as its factorization.

2130100031 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18, while the sum is 11.

The square root of 2130100031 is about 46153.0067384564. The cubic root of 2130100031 is about 1286.6684924924.

Adding to 2130100031 its reverse (1300010312), we get a palindrome (3430110343).

The spelling of 2130100031 in words is "two billion, one hundred thirty million, one hundred thousand, thirty-one".