131022203013100 has 144 divisors (see below), whose sum is σ = 330219194618880. Its totient is φ = 44195420505600.

The previous prime is 131022203012999. The next prime is 131022203013101. The reversal of 131022203013100 is 1310302220131.

It is a super-2 number, since 2×131022203013100² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (131022203013101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11323467 + ... + 19755133.

It is an arithmetic number, because the mean of its divisors is an integer number (2293188851520).

Almost surely, 2^{131022203013100} is an apocalyptic number.

131022203013100 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 131022203013100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165109597309440).

131022203013100 is an abundant number, since it is smaller than the sum of its proper divisors (199196991605780).

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

131022203013100 is a wasteful number, since it uses less digits than its factorization.

131022203013100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8432048 (or 8432041 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 131022203013100 its reverse (1310302220131), we get a palindrome (132332505233231).

The spelling of 131022203013100 in words is "one hundred thirty-one trillion, twenty-two billion, two hundred three million, thirteen thousand, one hundred".