131413101320 has 16 divisors (see below), whose sum is σ = 295679478060. Its totient is φ = 52565240512.

The previous prime is 131413101299. The next prime is 131413101353. The reversal of 131413101320 is 23101314131.

131413101320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 130831230436 + 581870884 = 361706^2 + 24122^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 131413101292 and 131413101301.

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 3 ways as a sum of consecutive naturals, for example, 1642663727 + ... + 1642663806.

Almost surely, 2^131413101320 is an apocalyptic number.

131413101320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131413101320 is an abundant number, since it is smaller than the sum of its proper divisors (164266376740).

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

131413101320 is a wasteful number, since it uses less digits than its factorization.

131413101320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3285327544 (or 3285327540 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 131413101320 its reverse (23101314131), we get a palindrome (154514415451).

The spelling of 131413101320 in words is "one hundred thirty-one billion, four hundred thirteen million, one hundred one thousand, three hundred twenty".