1020131000731 has 2 divisors, whose sum is σ = 1020131000732. Its totient is φ = 1020131000730.

The previous prime is 1020131000729. The next prime is 1020131000753. The reversal of 1020131000731 is 1370001310201.

1020131000731 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 1020131000731 - 2¹ = 1020131000729 is a prime.

It is a super-2 number, since 2×1020131000731² (a number of 25 digits) contains 22 as substring.

Together with 1020131000729, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 1020131000699 and 1020131000708.

It is not a weakly prime, because it can be changed into another prime (1020131006731) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 510065500365 + 510065500366.

It is an arithmetic number, because the mean of its divisors is an integer number (510065500366).

Almost surely, 2^{1020131000731} is an apocalyptic number.

1020131000731 is a deficient number, since it is larger than the sum of its proper divisors (1).

1020131000731 is an equidigital number, since it uses as much as digits as its factorization.

1020131000731 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 126, while the sum is 19.

Adding to 1020131000731 its reverse (1370001310201), we get a palindrome (2390132310932).

The spelling of 1020131000731 in words is "one trillion, twenty billion, one hundred thirty-one million, seven hundred thirty-one", and thus it is an aban number.