2031009098113 has 2 divisors, whose sum is σ = 2031009098114. Its totient is φ = 2031009098112.

The previous prime is 2031009098077. The next prime is 2031009098117. The reversal of 2031009098113 is 3118909001302.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1840382552449 + 190626545664 = 1356607^2 + 436608^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2031009098113 is a prime.

It is not a weakly prime, because it can be changed into another prime (2031009098117) 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 as a sum of consecutive naturals, namely, 1015504549056 + 1015504549057.

It is an arithmetic number, because the mean of its divisors is an integer number (1015504549057).

Almost surely, 2^{2031009098113} is an apocalyptic number.

It is an amenable number.

2031009098113 is a deficient number, since it is larger than the sum of its proper divisors (1).

2031009098113 is an equidigital number, since it uses as much as digits as its factorization.

2031009098113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 11664, while the sum is 37.

The spelling of 2031009098113 in words is "two trillion, thirty-one billion, nine million, ninety-eight thousand, one hundred thirteen".