131002122100 has 72 divisors (see below), whose sum is σ = 286466774328. Its totient is φ = 51997939200.

The previous prime is 131002122091. The next prime is 131002122103. The reversal of 131002122100 is 1221200131.

It can be written as a sum of positive squares in 12 ways, for example, as 15649509604 + 115352612496 = 125098^2 + 339636^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131002122103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9352302 + ... + 9366298.

It is an arithmetic number, because the mean of its divisors is an integer number (3978705199).

Almost surely, 2^131002122100 is an apocalyptic number.

131002122100 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 131002122100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143233387164).

131002122100 is an abundant number, since it is smaller than the sum of its proper divisors (155464652228).

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

131002122100 is a wasteful number, since it uses less digits than its factorization.

131002122100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14725 (or 14718 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 131002122100 its reverse (1221200131), we get a palindrome (132223322231).

The spelling of 131002122100 in words is "one hundred thirty-one billion, two million, one hundred twenty-two thousand, one hundred".