131314220144100 has 216 divisors, whose sum is σ = 473553745828800. Its totient is φ = 29813237879040.

The previous prime is 131314220144087. The next prime is 131314220144137. The reversal of 131314220144100 is 1441022413131.

It is a happy number.

131314220144100 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 1 + 42 + 201 + 4 + 410 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 69006022 + ... + 70883421.

Almost surely, 2^{131314220144100} is an apocalyptic number.

131314220144100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131314220144100 is an abundant number, since it is smaller than the sum of its proper divisors (342239525684700).

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

131314220144100 is a wasteful number, since it uses less digits than its factorization.

131314220144100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139889619 (or 139889609 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 131314220144100 its reverse (1441022413131), we get a palindrome (132755242557231).

The spelling of 131314220144100 in words is "one hundred thirty-one trillion, three hundred fourteen billion, two hundred twenty million, one hundred forty-four thousand, one hundred".