131010330100 has 72 divisors (see below), whose sum is σ = 306479321568. Its totient is φ = 48322761600.

The previous prime is 131010330079. The next prime is 131010330211. The reversal of 131010330100 is 1033010131.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1210407 + ... + 1314193.

It is an arithmetic number, because the mean of its divisors is an integer number (4256657244).

Almost surely, 2^131010330100 is an apocalyptic number.

131010330100 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 131010330100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153239660784).

131010330100 is an abundant number, since it is smaller than the sum of its proper divisors (175468991468).

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

131010330100 is a wasteful number, since it uses less digits than its factorization.

131010330100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104785 (or 104778 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 13.

Adding to 131010330100 its reverse (1033010131), we get a palindrome (132043340231).

The spelling of 131010330100 in words is "one hundred thirty-one billion, ten million, three hundred thirty thousand, one hundred".