1013100033031 has 2 divisors, whose sum is σ = 1013100033032. Its totient is φ = 1013100033030.

The previous prime is 1013100033007. The next prime is 1013100033061. The reversal of 1013100033031 is 1303300013101.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 1013100033031 - 2⁹ = 1013100032519 is a prime.

It is a super-2 number, since 2×1013100033031² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1013100032996 and 1013100033014.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1013100033061) 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, 506550016515 + 506550016516.

It is an arithmetic number, because the mean of its divisors is an integer number (506550016516).

Almost surely, 2^{1013100033031} is an apocalyptic number.

1013100033031 is a deficient number, since it is larger than the sum of its proper divisors (1).

1013100033031 is an equidigital number, since it uses as much as digits as its factorization.

1013100033031 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 81, while the sum is 16.

Adding to 1013100033031 its reverse (1303300013101), we get a palindrome (2316400046132).

The spelling of 1013100033031 in words is "one trillion, thirteen billion, one hundred million, thirty-three thousand, thirty-one".