131233013120 has 128 divisors (see below), whose sum is σ = 346374766080. Its totient is φ = 47145932800.

The previous prime is 131233013113. The next prime is 131233013123. The reversal of 131233013120 is 21310332131.

It is a tau number, because it is divible by the number of its divisors (128).

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 = 131233013092 and 131233013101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131233013123) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 472025 + ... + 696615.

It is an arithmetic number, because the mean of its divisors is an integer number (2706052860).

Almost surely, 2^131233013120 is an apocalyptic number.

131233013120 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 131233013120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173187383040).

131233013120 is an abundant number, since it is smaller than the sum of its proper divisors (215141752960).

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

131233013120 is a wasteful number, since it uses less digits than its factorization.

131233013120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224704 (or 224692 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 131233013120 its reverse (21310332131), we get a palindrome (152543345251).

The spelling of 131233013120 in words is "one hundred thirty-one billion, two hundred thirty-three million, thirteen thousand, one hundred twenty".