1020001011031 has 2 divisors, whose sum is σ = 1020001011032. Its totient is φ = 1020001011030.

The previous prime is 1020001011017. The next prime is 1020001011047. The reversal of 1020001011031 is 1301101000201.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 1020001011031 - 2¹⁷ = 1020000879959 is a prime.

It is a super-2 number, since 2×1020001011031² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1020001010999 and 1020001011017.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1020001011061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 510000505515 + 510000505516.

It is an arithmetic number, because the mean of its divisors is an integer number (510000505516).

Almost surely, 2^{1020001011031} is an apocalyptic number.

1020001011031 is a deficient number, since it is larger than the sum of its proper divisors (1).

1020001011031 is an equidigital number, since it uses as much as digits as its factorization.

1020001011031 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6, while the sum is 10.

Adding to 1020001011031 its reverse (1301101000201), we get a palindrome (2321102011232).

The spelling of 1020001011031 in words is "one trillion, twenty billion, one million, eleven thousand, thirty-one".