131313001331312 has 160 divisors (see below), whose sum is σ = 274228063280640. Its totient is φ = 60792496128000.

The previous prime is 131313001331279. The next prime is 131313001331321. The reversal of 131313001331312 is 213133100313131.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2566235264 + ... + 2566286432.

It is an arithmetic number, because the mean of its divisors is an integer number (1713925395504).

Almost surely, 2^{131313001331312} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131313001331312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137114031640320).

131313001331312 is an abundant number, since it is smaller than the sum of its proper divisors (142915061949328).

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

131313001331312 is a wasteful number, since it uses less digits than its factorization.

131313001331312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53683 (or 53677 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 26.

Adding to 131313001331312 its reverse (213133100313131), we get a palindrome (344446101644443).

The spelling of 131313001331312 in words is "one hundred thirty-one trillion, three hundred thirteen billion, one million, three hundred thirty-one thousand, three hundred twelve".