18201001002031 has 2 divisors, whose sum is σ = 18201001002032. Its totient is φ = 18201001002030.

The previous prime is 18201001001993. The next prime is 18201001002047. The reversal of 18201001002031 is 13020010010281.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-18201001002031 is a prime.

It is a super-2 number, since 2×18201001002031² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (18201001002731) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 9100500501015 + 9100500501016.

It is an arithmetic number, because the mean of its divisors is an integer number (9100500501016).

Almost surely, 2^{18201001002031} is an apocalyptic number.

18201001002031 is a deficient number, since it is larger than the sum of its proper divisors (1).

18201001002031 is an equidigital number, since it uses as much as digits as its factorization.

18201001002031 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 96, while the sum is 19.

The spelling of 18201001002031 in words is "eighteen trillion, two hundred one billion, one million, two thousand, thirty-one".