210132013 has 32 divisors (see below), whose sum is σ = 268240896. Its totient is φ = 160187328.

The previous prime is 210131993. The next prime is 210132017. The reversal of 210132013 is 310231012.

It is not a de Polignac number, because 210132013 - 2¹⁷ = 210000941 is a prime.

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

It is a junction number, because it is equal to n+sod(n) for n = 210131984 and 210132002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210132017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 324456 + ... + 325102.

It is an arithmetic number, because the mean of its divisors is an integer number (8382528).

Almost surely, 2^210132013 is an apocalyptic number.

It is an amenable number.

210132013 is a deficient number, since it is larger than the sum of its proper divisors (58108883).

210132013 is a wasteful number, since it uses less digits than its factorization.

210132013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 793.

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 210132013 is about 14495.9309118111. The cubic root of 210132013 is about 594.5167207687.

Adding to 210132013 its reverse (310231012), we get a palindrome (520363025).

The spelling of 210132013 in words is "two hundred ten million, one hundred thirty-two thousand, thirteen".