131120303131000 has 128 divisors (see below), whose sum is σ = 307910092089600. Its totient is φ = 52262087116800.

The previous prime is 131120303130997. The next prime is 131120303131003. The reversal of 131120303131000 is 131303021131.

It is an interprime number because it is at equal distance from previous prime (131120303130997) and next prime (131120303131003).

It is a super-2 number, since 2×131120303131000² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131120303131003) 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 31 ways as a sum of consecutive naturals, for example, 2545851249 + ... + 2545902751.

It is an arithmetic number, because the mean of its divisors is an integer number (2405547594450).

Almost surely, 2^{131120303131000} is an apocalyptic number.

131120303131000 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 131120303131000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153955046044800).

131120303131000 is an abundant number, since it is smaller than the sum of its proper divisors (176789788958600).

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

131120303131000 is a wasteful number, since it uses less digits than its factorization.

131120303131000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60506 (or 60492 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 19.

Adding to 131120303131000 its reverse (131303021131), we get a palindrome (131251606152131).

The spelling of 131120303131000 in words is "one hundred thirty-one trillion, one hundred twenty billion, three hundred three million, one hundred thirty-one thousand".