131013010120000 has 70 divisors (see below), whose sum is σ = 324869685968498. Its totient is φ = 52405204032000.

The previous prime is 131013010119977. The next prime is 131013010120001. The reversal of 131013010120000 is 21010310131.

It can be written as a sum of positive squares in 5 ways, for example, as 17755908178176 + 113257101941824 = 4213776^2 + 10642232^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131013010120001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1637622627 + ... + 1637702626.

Almost surely, 2^{131013010120000} is an apocalyptic number.

131013010120000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131013010120000 is an abundant number, since it is smaller than the sum of its proper divisors (193856675848498).

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

131013010120000 is an frugal number, since it uses more digits than its factorization.

131013010120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3275325285 (or 3275325260 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 13.

Adding to 131013010120000 its reverse (21010310131), we get a palindrome (131034020430131).

The spelling of 131013010120000 in words is "one hundred thirty-one trillion, thirteen billion, ten million, one hundred twenty thousand".