1033100013 has 32 divisors (see below), whose sum is σ = 1606925952. Its totient is φ = 583424000.

The previous prime is 1033100011. The next prime is 1033100023. The reversal of 1033100013 is 3100013301.

It is a cyclic number.

It is not a de Polignac number, because 1033100013 - 2¹ = 1033100011 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1033100011) 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, 47545 + ... + 65777.

It is an arithmetic number, because the mean of its divisors is an integer number (50216436).

Almost surely, 2^1033100013 is an apocalyptic number.

It is an amenable number.

1033100013 is a deficient number, since it is larger than the sum of its proper divisors (573825939).

1033100013 is a wasteful number, since it uses less digits than its factorization.

1033100013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18365.

The product of its (nonzero) digits is 27, while the sum is 12.

The square root of 1033100013 is about 32141.8732030353. The cubic root of 1033100013 is about 1010.9137934617.

Adding to 1033100013 its reverse (3100013301), we get a palindrome (4133113314).

The spelling of 1033100013 in words is "one billion, thirty-three million, one hundred thousand, thirteen".