131553520100 has 72 divisors (see below), whose sum is σ = 288475786368. Its totient is φ = 52068208000.

The previous prime is 131553520093. The next prime is 131553520121. The reversal of 131553520100 is 1025355131.

It is a happy number.

It is a super-2 number, since 2×131553520100² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 131553520100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22651397 + ... + 22657203.

It is an arithmetic number, because the mean of its divisors is an integer number (4006608144).

Almost surely, 2^131553520100 is an apocalyptic number.

131553520100 is a gapful number since it is divisible by the number (10) 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 131553520100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144237893184).

131553520100 is an abundant number, since it is smaller than the sum of its proper divisors (156922266268).

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

131553520100 is a wasteful number, since it uses less digits than its factorization.

131553520100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8165 (or 8158 counting only the distinct ones).

The product of its (nonzero) digits is 2250, while the sum is 26.

Adding to 131553520100 its reverse (1025355131), we get a palindrome (132578875231).

The spelling of 131553520100 in words is "one hundred thirty-one billion, five hundred fifty-three million, five hundred twenty thousand, one hundred".