1020032013031 has 2 divisors, whose sum is σ = 1020032013032. Its totient is φ = 1020032013030.

The previous prime is 1020032012983. The next prime is 1020032013079. The reversal of 1020032013031 is 1303102300201.

It is a balanced prime because it is at equal distance from previous prime (1020032012983) and next prime (1020032013079).

It is a cyclic number.

It is not a de Polignac number, because 1020032013031 - 2²⁹ = 1019495142119 is a prime.

It is a super-2 number, since 2×1020032013031² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1020032012996 and 1020032013014.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1020032013731) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 510016006515 + 510016006516.

It is an arithmetic number, because the mean of its divisors is an integer number (510016006516).

Almost surely, 2^{1020032013031} is an apocalyptic number.

1020032013031 is a deficient number, since it is larger than the sum of its proper divisors (1).

1020032013031 is an equidigital number, since it uses as much as digits as its factorization.

1020032013031 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 1020032013031 its reverse (1303102300201), we get a palindrome (2323134313232).

The spelling of 1020032013031 in words is "one trillion, twenty billion, thirty-two million, thirteen thousand, thirty-one".