1020413031 has 32 divisors (see below), whose sum is σ = 1564846080. Its totient is φ = 584949600.

The previous prime is 1020413029. The next prime is 1020413041. The reversal of 1020413031 is 1303140201.

1020413031 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1020413031 - 2¹ = 1020413029 is a prime.

It is a super-2 number, since 2×1020413031² = 2082485507669213922, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1020413031.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020413041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 665736 + ... + 667266.

It is an arithmetic number, because the mean of its divisors is an integer number (48901440).

Almost surely, 2^1020413031 is an apocalyptic number.

1020413031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1020413031 is a deficient number, since it is larger than the sum of its proper divisors (544433049).

1020413031 is a wasteful number, since it uses less digits than its factorization.

1020413031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2627.

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 1020413031 is about 31943.9044420058. The cubic root of 1020413031 is about 1006.7585625921.

Adding to 1020413031 its reverse (1303140201), we get a palindrome (2323553232).

The spelling of 1020413031 in words is "one billion, twenty million, four hundred thirteen thousand, thirty-one".