131333210013330 has 192 divisors, whose sum is σ = 380443107713760. Its totient is φ = 31210975531008.

The previous prime is 131333210013311. The next prime is 131333210013347. The reversal of 131333210013330 is 33310012333131.

131333210013330 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 3 + 321 + 0 + 0 + 1 + 3 + 330 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 16255485009 + 131316954528321 = 127497^2 + 11459361^2 .

It is a junction number, because it is equal to n+sod(n) for n = 131333210013294 and 131333210013303.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 455094564 + ... + 455383056.

Almost surely, 2^{131333210013330} is an apocalyptic number.

131333210013330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 131333210013330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190221553856880).

131333210013330 is an abundant number, since it is smaller than the sum of its proper divisors (249109897700430).

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

131333210013330 is a wasteful number, since it uses less digits than its factorization.

131333210013330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301965 (or 301962 counting only the distinct ones).

The product of its (nonzero) digits is 4374, while the sum is 27.

Adding to 131333210013330 its reverse (33310012333131), we get a palindrome (164643222346461).

The spelling of 131333210013330 in words is "one hundred thirty-one trillion, three hundred thirty-three billion, two hundred ten million, thirteen thousand, three hundred thirty".