1020133010 has 64 divisors (see below), whose sum is σ = 2025475200. Its totient is φ = 369809856.

The previous prime is 1020133001. The next prime is 1020133019. The reversal of 1020133010 is 103310201.

It is an interprime number because it is at equal distance from previous prime (1020133001) and next prime (1020133019).

It is a junction number, because it is equal to n+sod(n) for n = 1020132982 and 1020133000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020133019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1295837 + ... + 1296623.

It is an arithmetic number, because the mean of its divisors is an integer number (31648050).

Almost surely, 2^1020133010 is an apocalyptic number.

1020133010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1020133010 is a deficient number, since it is larger than the sum of its proper divisors (1005342190).

1020133010 is an equidigital number, since it uses as much as digits as its factorization.

1020133010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 892 (or 866 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 11.

The square root of 1020133010 is about 31939.5211297853. The cubic root of 1020133010 is about 1006.6664628500. Note that the first 3 decimals are identical.

Adding to 1020133010 its reverse (103310201), we get a palindrome (1123443211).

The spelling of 1020133010 in words is "one billion, twenty million, one hundred thirty-three thousand, ten".