131010123220100 has 144 divisors (see below), whose sum is σ = 297660564504576. Its totient is φ = 49988464848000.

The previous prime is 131010123220079. The next prime is 131010123220159. The reversal of 131010123220100 is 1022321010131.

131010123220100 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 2×131010123220100² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1052676077 + ... + 1052800523.

It is an arithmetic number, because the mean of its divisors is an integer number (2067087253504).

Almost surely, 2^{131010123220100} is an apocalyptic number.

131010123220100 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 131010123220100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148830282252288).

131010123220100 is an abundant number, since it is smaller than the sum of its proper divisors (166650441284476).

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

131010123220100 is a wasteful number, since it uses less digits than its factorization.

131010123220100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129346 (or 129339 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 131010123220100 its reverse (1022321010131), we get a palindrome (132032444230231).

The spelling of 131010123220100 in words is "one hundred thirty-one trillion, ten billion, one hundred twenty-three million, two hundred twenty thousand, one hundred".