820313525131 has 8 divisors (see below), whose sum is σ = 823522036064. Its totient is φ = 817109596800.

The previous prime is 820313525123. The next prime is 820313525177. The reversal of 820313525131 is 131525313028.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 820313525131 - 2³ = 820313525123 is a prime.

It is a super-2 number, since 2×820313525131² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (820313525531) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 786720 + ... + 1503181.

It is an arithmetic number, because the mean of its divisors is an integer number (102940254508).

Almost surely, 2^820313525131 is an apocalyptic number.

820313525131 is a deficient number, since it is larger than the sum of its proper divisors (3208510933).

820313525131 is a wasteful number, since it uses less digits than its factorization.

820313525131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2291301.

The product of its (nonzero) digits is 21600, while the sum is 34.

Adding to 820313525131 its reverse (131525313028), we get a palindrome (951838838159).

The spelling of 820313525131 in words is "eight hundred twenty billion, three hundred thirteen million, five hundred twenty-five thousand, one hundred thirty-one".