131353335120 has 160 divisors (see below), whose sum is σ = 466121594880. Its totient is φ = 29974878720.

The previous prime is 131353335103. The next prime is 131353335131. The reversal of 131353335120 is 21533353131.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 976765 + ... + 1103075.

It is an arithmetic number, because the mean of its divisors is an integer number (2913259968).

Almost surely, 2^131353335120 is an apocalyptic number.

131353335120 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 131353335120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233060797440).

131353335120 is an abundant number, since it is smaller than the sum of its proper divisors (334768259760).

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

131353335120 is a wasteful number, since it uses less digits than its factorization.

131353335120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126953 (or 126947 counting only the distinct ones).

The product of its (nonzero) digits is 12150, while the sum is 30.

Adding to 131353335120 its reverse (21533353131), we get a palindrome (152886688251).

The spelling of 131353335120 in words is "one hundred thirty-one billion, three hundred fifty-three million, three hundred thirty-five thousand, one hundred twenty".