131013626216000 has 448 divisors, whose sum is σ = 357663926101248. Its totient is φ = 47142144000000.

The previous prime is 131013626215963. The next prime is 131013626216023. The reversal of 131013626216000 is 612626310131.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21073444892 + ... + 21073451108.

Almost surely, 2^{131013626216000} is an apocalyptic number.

131013626216000 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 131013626216000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178831963050624).

131013626216000 is an abundant number, since it is smaller than the sum of its proper divisors (226650299885248).

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

131013626216000 is a wasteful number, since it uses less digits than its factorization.

131013626216000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8727 (or 8707 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 32.

The spelling of 131013626216000 in words is "one hundred thirty-one trillion, thirteen billion, six hundred twenty-six million, two hundred sixteen thousand".