131020100010 has 192 divisors, whose sum is σ = 352943585280. Its totient is φ = 33701391360.

The previous prime is 131020099993. The next prime is 131020100017. The reversal of 131020100010 is 10001020131.

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

It is a junction number, because it is equal to n+sod(n) for n = 131020099965 and 131020100001.

It is not an unprimeable number, because it can be changed into a prime (131020100017) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 116049126 + ... + 116050254.

It is an arithmetic number, because the mean of its divisors is an integer number (1838247840).

Almost surely, 2^131020100010 is an apocalyptic number.

131020100010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 131020100010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176471792640).

131020100010 is an abundant number, since it is smaller than the sum of its proper divisors (221923485270).

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

131020100010 is a wasteful number, since it uses less digits than its factorization.

131020100010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1533 (or 1530 counting only the distinct ones).

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

Adding to 131020100010 its reverse (10001020131), we get a palindrome (141021120141).

The spelling of 131020100010 in words is "one hundred thirty-one billion, twenty million, one hundred thousand, ten".