131023101120 has 224 divisors, whose sum is σ = 419718256320. Its totient is φ = 34628567040.

The previous prime is 131023101089. The next prime is 131023101149. The reversal of 131023101120 is 21101320131.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 131023101120.

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, 52980204 + ... + 52982676.

Almost surely, 2^131023101120 is an apocalyptic number.

131023101120 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 131023101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209859128160).

131023101120 is an abundant number, since it is smaller than the sum of its proper divisors (288695155200).

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

131023101120 is a wasteful number, since it uses less digits than its factorization.

131023101120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2963 (or 2953 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 131023101120 its reverse (21101320131), we get a palindrome (152124421251).

The spelling of 131023101120 in words is "one hundred thirty-one billion, twenty-three million, one hundred one thousand, one hundred twenty".