131133243553312 has 768 divisors, whose sum is σ = 361316216733696. Its totient is φ = 45194734080000.

The previous prime is 131133243553267. The next prime is 131133243553327. The reversal of 131133243553312 is 213355342331131.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 55028636473 + ... + 55028638855.

It is an arithmetic number, because the mean of its divisors is an integer number (470463823872).

Almost surely, 2^{131133243553312} 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 131133243553312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180658108366848).

131133243553312 is an abundant number, since it is smaller than the sum of its proper divisors (230182973180384).

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

131133243553312 is a wasteful number, since it uses less digits than its factorization.

131133243553312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2973 (or 2965 counting only the distinct ones).

The product of its digits is 291600, while the sum is 40.

Adding to 131133243553312 its reverse (213355342331131), we get a palindrome (344488585884443).

The spelling of 131133243553312 in words is "one hundred thirty-one trillion, one hundred thirty-three billion, two hundred forty-three million, five hundred fifty-three thousand, three hundred twelve".