131313120020000 has 120 divisors (see below), whose sum is σ = 323105416666956. Its totient is φ = 52516233216000.

The previous prime is 131313120019993. The next prime is 131313120020009. The reversal of 131313120020000 is 20021313131.

It can be written as a sum of positive squares in 10 ways, for example, as 18464461456 + 131294655558544 = 135884^2 + 11458388^2 .

It is not an unprimeable number, because it can be changed into a prime (131313120020009) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 116579504 + ... + 117700496.

Almost surely, 2^{131313120020000} is an apocalyptic number.

131313120020000 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 131313120020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161552708333478).

131313120020000 is an abundant number, since it is smaller than the sum of its proper divisors (191792296646956).

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

131313120020000 is an equidigital number, since it uses as much as digits as its factorization.

131313120020000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1126880 (or 1126857 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 131313120020000 its reverse (20021313131), we get a palindrome (131333141333131).

The spelling of 131313120020000 in words is "one hundred thirty-one trillion, three hundred thirteen billion, one hundred twenty million, twenty thousand".