1020305314031 has 2 divisors, whose sum is σ = 1020305314032. Its totient is φ = 1020305314030.

The previous prime is 1020305314001. The next prime is 1020305314043. The reversal of 1020305314031 is 1304135030201.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 1020305314031 - 2¹⁴ = 1020305297647 is a prime.

It is a super-2 number, since 2×1020305314031² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1020305313988 and 1020305314006.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1020305314001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 510152657015 + 510152657016.

It is an arithmetic number, because the mean of its divisors is an integer number (510152657016).

Almost surely, 2^{1020305314031} is an apocalyptic number.

1020305314031 is a deficient number, since it is larger than the sum of its proper divisors (1).

1020305314031 is an equidigital number, since it uses as much as digits as its factorization.

1020305314031 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1080, while the sum is 23.

The spelling of 1020305314031 in words is "one trillion, twenty billion, three hundred five million, three hundred fourteen thousand, thirty-one".