131113010120 has 96 divisors (see below), whose sum is σ = 306270357120. Its totient is φ = 50513675520.

The previous prime is 131113010107. The next prime is 131113010123. The reversal of 131113010120 is 21010311131.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 131113010095 and 131113010104.

It is not an unprimeable number, because it can be changed into a prime (131113010123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14494319 + ... + 14503361.

It is an arithmetic number, because the mean of its divisors is an integer number (3190316220).

Almost surely, 2^131113010120 is an apocalyptic number.

131113010120 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 131113010120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153135178560).

131113010120 is an abundant number, since it is smaller than the sum of its proper divisors (175157347000).

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

131113010120 is a wasteful number, since it uses less digits than its factorization.

131113010120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9543 (or 9510 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 14.

Adding to 131113010120 its reverse (21010311131), we get a palindrome (152123321251).

The spelling of 131113010120 in words is "one hundred thirty-one billion, one hundred thirteen million, ten thousand, one hundred twenty".