813210013 has 64 divisors (see below), whose sum is σ = 1115412480. Its totient is φ = 573868800.

The previous prime is 813210001. The next prime is 813210017. The reversal of 813210013 is 310012318.

813210013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 813210013 - 2⁵ = 813209981 is a prime.

It is a super-2 number, since 2×813210013² = 1322621050486920338, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (813210017) 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, 4492783 + ... + 4492963.

It is an arithmetic number, because the mean of its divisors is an integer number (17428320).

Almost surely, 2^813210013 is an apocalyptic number.

813210013 is a gapful number since it is divisible by the number (83) formed by its first and last digit.

It is an amenable number.

813210013 is a deficient number, since it is larger than the sum of its proper divisors (302202467).

813210013 is a wasteful number, since it uses less digits than its factorization.

813210013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338.

The product of its (nonzero) digits is 144, while the sum is 19.

The square root of 813210013 is about 28516.8373597073. The cubic root of 813210013 is about 933.3995184216.

It can be divided in two parts, 8132 and 10013, that added together give a triangular number (18145 = T₁₉₀).

The spelling of 813210013 in words is "eight hundred thirteen million, two hundred ten thousand, thirteen".