131333013302112 has 240 divisors, whose sum is σ = 388935437592240. Its totient is φ = 43473600211968.

The previous prime is 131333013302111. The next prime is 131333013302137. The reversal of 131333013302112 is 211203310333131.

131333013302112 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 3 + 301 + 330 + 21 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131333013302111) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 339895458 + ... + 340281630.

It is an arithmetic number, because the mean of its divisors is an integer number (1620564323301).

Almost surely, 2^{131333013302112} is an apocalyptic number.

131333013302112 is a gapful number since it is divisible by the number (12) 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 131333013302112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194467718796120).

131333013302112 is an abundant number, since it is smaller than the sum of its proper divisors (257602424290128).

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

131333013302112 is a wasteful number, since it uses less digits than its factorization.

131333013302112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 387107 (or 387090 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

Adding to 131333013302112 its reverse (211203310333131), we get a palindrome (342536323635243).

The spelling of 131333013302112 in words is "one hundred thirty-one trillion, three hundred thirty-three billion, thirteen million, three hundred two thousand, one hundred twelve".