130821810 has 64 divisors (see below), whose sum is σ = 359783424. Its totient is φ = 29822400.

The previous prime is 130821809. The next prime is 130821827. The reversal of 130821810 is 18128031.

It is a super-2 number, since 2×130821810² = 34228691943352200, which contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 119365 + ... + 120455.

It is an arithmetic number, because the mean of its divisors is an integer number (5621616).

Almost surely, 2^130821810 is an apocalyptic number.

130821810 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 130821810, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179891712).

130821810 is an abundant number, since it is smaller than the sum of its proper divisors (228961614).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

130821810 is a wasteful number, since it uses less digits than its factorization.

130821810 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1679.

The product of its (nonzero) digits is 384, while the sum is 24.

The square root of 130821810 is about 11437.7362270687. The cubic root of 130821810 is about 507.6449277498.

Adding to 130821810 its reverse (18128031), we get a palindrome (148949841).

The spelling of 130821810 in words is "one hundred thirty million, eight hundred twenty-one thousand, eight hundred ten".