131026291200 has 960 divisors, whose sum is σ = 563466435840. Its totient is φ = 29196288000.

The previous prime is 131026291199. The next prime is 131026291219. The reversal of 131026291200 is 2192620131.

131026291200 is a `hidden beast` number, since 1 + 3 + 10 + 2 + 629 + 1 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 99186540 + ... + 99187860.

It is an arithmetic number, because the mean of its divisors is an integer number (586944204).

Almost surely, 2^131026291200 is an apocalyptic number.

131026291200 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 131026291200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281733217920).

131026291200 is an abundant number, since it is smaller than the sum of its proper divisors (432440144640).

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

131026291200 is a wasteful number, since it uses less digits than its factorization.

131026291200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1406 (or 1379 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The spelling of 131026291200 in words is "one hundred thirty-one billion, twenty-six million, two hundred ninety-one thousand, two hundred".