531130035340100 has 288 divisors, whose sum is σ = 1435437970089984. Its totient is φ = 166453872076800.

The previous prime is 531130035340087. The next prime is 531130035340129. The reversal of 531130035340100 is 1043530031135.

It is a super-2 number, since 2×531130035340100² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 51917027 + ... + 61299573.

It is an arithmetic number, because the mean of its divisors is an integer number (4984159618368).

Almost surely, 2^{531130035340100} is an apocalyptic number.

531130035340100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 531130035340100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (717718985044992).

531130035340100 is an abundant number, since it is smaller than the sum of its proper divisors (904307934749884).

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

531130035340100 is a wasteful number, since it uses less digits than its factorization.

531130035340100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9382723 (or 9382716 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 29.

Adding to 531130035340100 its reverse (1043530031135), we get a palindrome (532173565371235).

The spelling of 531130035340100 in words is "five hundred thirty-one trillion, one hundred thirty billion, thirty-five million, three hundred forty thousand, one hundred".