1012120213 has 24 divisors (see below), whose sum is σ = 1145982600. Its totient is φ = 892329984.

The previous prime is 1012120201. The next prime is 1012120217. The reversal of 1012120213 is 3120212101.

It can be written as a sum of positive squares in 12 ways, for example, as 646278084 + 365842129 = 25422^2 + 19127^2 .

It is not a de Polignac number, because 1012120213 - 2⁵ = 1012120181 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1012120193 and 1012120202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1012120217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 474333 + ... + 476461.

It is an arithmetic number, because the mean of its divisors is an integer number (47749275).

Almost surely, 2^1012120213 is an apocalyptic number.

1012120213 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1012120213 is a deficient number, since it is larger than the sum of its proper divisors (133862387).

1012120213 is a wasteful number, since it uses less digits than its factorization.

1012120213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2281 (or 2268 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

The square root of 1012120213 is about 31813.8368167060. The cubic root of 1012120213 is about 1004.0238578507.

Adding to 1012120213 its reverse (3120212101), we get a palindrome (4132332314).

The spelling of 1012120213 in words is "one billion, twelve million, one hundred twenty thousand, two hundred thirteen".