131302003002000 has 320 divisors, whose sum is σ = 431414901964800. Its totient is φ = 34346663462400.

The previous prime is 131302003001921. The next prime is 131302003002011. The reversal of 131302003002000 is 200300203131.

131302003002000 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 164920881 + ... + 165715119.

It is an arithmetic number, because the mean of its divisors is an integer number (1348171568640).

Almost surely, 2^{131302003002000} is an apocalyptic number.

131302003002000 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 131302003002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215707450982400).

131302003002000 is an abundant number, since it is smaller than the sum of its proper divisors (300112898962800).

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

131302003002000 is a wasteful number, since it uses less digits than its factorization.

131302003002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 794791 (or 794775 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 131302003002000 its reverse (200300203131), we get a palindrome (131502303205131).

The spelling of 131302003002000 in words is "one hundred thirty-one trillion, three hundred two billion, three million, two thousand".