131001034120420 has 24 divisors (see below), whose sum is σ = 275102388961848. Its totient is φ = 52400372256000.

The previous prime is 131001034120399. The next prime is 131001034120421. The reversal of 131001034120420 is 24021430100131.

It can be written as a sum of positive squares in 4 ways, for example, as 23636165783616 + 107364868336804 = 4861704^2 + 10361702^2 .

It is a super-2 number, since 2×131001034120420² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 131001034120391 and 131001034120400.

It is not an unprimeable number, because it can be changed into a prime (131001034120421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42706120 + ... + 45670720.

It is an arithmetic number, because the mean of its divisors is an integer number (11462599540077).

Almost surely, 2^{131001034120420} is an apocalyptic number.

131001034120420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131001034120420 is an abundant number, since it is smaller than the sum of its proper divisors (144101354841428).

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

131001034120420 is a wasteful number, since it uses less digits than its factorization.

131001034120420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5174031 (or 5174029 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 131001034120420 its reverse (24021430100131), we get a palindrome (155022464220551).

The spelling of 131001034120420 in words is "one hundred thirty-one trillion, one billion, thirty-four million, one hundred twenty thousand, four hundred twenty".