131303003332100 has 144 divisors (see below), whose sum is σ = 304207223241600. Its totient is φ = 49046570496000.

The previous prime is 131303003332099. The next prime is 131303003332133. The reversal of 131303003332100 is 1233300303131.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 712314746 + ... + 712499054.

It is an arithmetic number, because the mean of its divisors is an integer number (2112550161400).

Almost surely, 2^{131303003332100} is an apocalyptic number.

131303003332100 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 131303003332100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152103611620800).

131303003332100 is an abundant number, since it is smaller than the sum of its proper divisors (172904219909500).

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

131303003332100 is a wasteful number, since it uses less digits than its factorization.

131303003332100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189694 (or 189687 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 23.

Adding to 131303003332100 its reverse (1233300303131), we get a palindrome (132536303635231).

The spelling of 131303003332100 in words is "one hundred thirty-one trillion, three hundred three billion, three million, three hundred thirty-two thousand, one hundred".