1022034013 has 64 divisors (see below), whose sum is σ = 1425715200. Its totient is φ = 721828800.

The previous prime is 1022034011. The next prime is 1022034109. The reversal of 1022034013 is 3104302201.

It is a happy number.

1022034013 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 1022034013 - 2¹ = 1022034011 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1022034011) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3286128 + ... + 3286438.

It is an arithmetic number, because the mean of its divisors is an integer number (22276800).

Almost surely, 2^1022034013 is an apocalyptic number.

1022034013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1022034013 is a deficient number, since it is larger than the sum of its proper divisors (403681187).

1022034013 is a wasteful number, since it uses less digits than its factorization.

1022034013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 1022034013 is about 31969.2666947492. The cubic root of 1022034013 is about 1007.2913775993.

Adding to 1022034013 its reverse (3104302201), we get a palindrome (4126336214).

The spelling of 1022034013 in words is "one billion, twenty-two million, thirty-four thousand, thirteen".