131101020000 has 360 divisors, whose sum is σ = 466987641120. Its totient is φ = 34876800000.

The previous prime is 131101019927. The next prime is 131101020049. The reversal of 131101020000 is 20101131.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

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 59 ways as a sum of consecutive naturals, for example, 126179481 + ... + 126180519.

It is an arithmetic number, because the mean of its divisors is an integer number (1297187892).

Almost surely, 2^131101020000 is an apocalyptic number.

131101020000 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 131101020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233493820560).

131101020000 is an abundant number, since it is smaller than the sum of its proper divisors (335886621120).

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

131101020000 is a wasteful number, since it uses less digits than its factorization.

131101020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1776 (or 1750 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 131101020000 its reverse (20101131), we get a palindrome (131121121131).

The spelling of 131101020000 in words is "one hundred thirty-one billion, one hundred one million, twenty thousand".