131002301100 has 144 divisors (see below), whose sum is σ = 415591900416. Its totient is φ = 31596768000.

The previous prime is 131002301099. The next prime is 131002301117. The reversal of 131002301100 is 1103200131.

131002301100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×131002301100² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 549345 + ... + 750855.

It is an arithmetic number, because the mean of its divisors is an integer number (2886054864).

Almost surely, 2^131002301100 is an apocalyptic number.

131002301100 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 131002301100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207795950208).

131002301100 is an abundant number, since it is smaller than the sum of its proper divisors (284589599316).

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

131002301100 is a wasteful number, since it uses less digits than its factorization.

131002301100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201736 (or 201729 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 131002301100 its reverse (1103200131), we get a palindrome (132105501231).

The spelling of 131002301100 in words is "one hundred thirty-one billion, two million, three hundred one thousand, one hundred".