131000100000 has 1152 divisors, whose sum is σ = 551088728064. Its totient is φ = 26457600000.

The previous prime is 131000099977. The next prime is 131000100017. The reversal of 131000100000 is 1000131.

It is a super-2 number, since 2×131000100000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1224299947 + ... + 1224300053.

It is an arithmetic number, because the mean of its divisors is an integer number (478375632).

Almost surely, 2^131000100000 is an apocalyptic number.

131000100000 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 131000100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275544364032).

131000100000 is an abundant number, since it is smaller than the sum of its proper divisors (420088628064).

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

131000100000 is a wasteful number, since it uses less digits than its factorization.

131000100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 3, while the sum is 6.

Adding to 131000100000 its reverse (1000131), we get a palindrome (131001100131).

The spelling of 131000100000 in words is "one hundred thirty-one billion, one hundred thousand".