131012223324420 has 192 divisors, whose sum is σ = 380920502704896. Its totient is φ = 33617725839360.

The previous prime is 131012223324287. The next prime is 131012223324439. The reversal of 131012223324420 is 24423322210131.

It is a happy number.

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

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 84441502 + ... + 85979018.

It is an arithmetic number, because the mean of its divisors is an integer number (1983960951588).

Almost surely, 2^{131012223324420} is an apocalyptic number.

131012223324420 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 131012223324420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190460251352448).

131012223324420 is an abundant number, since it is smaller than the sum of its proper divisors (249908279380476).

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

131012223324420 is a wasteful number, since it uses less digits than its factorization.

131012223324420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1537990 (or 1537988 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 131012223324420 its reverse (24423322210131), we get a palindrome (155435545534551).

The spelling of 131012223324420 in words is "one hundred thirty-one trillion, twelve billion, two hundred twenty-three million, three hundred twenty-four thousand, four hundred twenty".