10002033013 has 4 divisors (see below), whose sum is σ = 11430894880. Its totient is φ = 8573171148.

The previous prime is 10002032983. The next prime is 10002033043. The reversal of 10002033013 is 31033020001.

10002033013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also an emirpimes, since its reverse is a distinct semiprime: 31033020001 = 67 ⋅463179403.

It is an interprime number because it is at equal distance from previous prime (10002032983) and next prime (10002033043).

It is a cyclic number.

It is not a de Polignac number, because 10002033013 - 2²¹ = 9999935861 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10002032984 and 10002033002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10002033043) 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 3 ways as a sum of consecutive naturals, for example, 714430923 + ... + 714430936.

It is an arithmetic number, because the mean of its divisors is an integer number (2857723720).

Almost surely, 2^10002033013 is an apocalyptic number.

It is an amenable number.

10002033013 is a deficient number, since it is larger than the sum of its proper divisors (1428861867).

10002033013 is an equidigital number, since it uses as much as digits as its factorization.

10002033013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1428861866.

The product of its (nonzero) digits is 54, while the sum is 13.

Adding to 10002033013 its reverse (31033020001), we get a palindrome (41035053014).

The spelling of 10002033013 in words is "ten billion, two million, thirty-three thousand, thirteen".