131069311296 has 896 divisors, whose sum is σ = 484558848000. Its totient is φ = 30852218880.

The previous prime is 131069311291. The next prime is 131069311319. The reversal of 131069311296 is 692113960131.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131069311291) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 357136905 + ... + 357137271.

Almost surely, 2^131069311296 is an apocalyptic number.

131069311296 is a gapful number since it is divisible by the number (16) 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 131069311296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242279424000).

131069311296 is an abundant number, since it is smaller than the sum of its proper divisors (353489536704).

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

131069311296 is a wasteful number, since it uses less digits than its factorization.

131069311296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 460 (or 436 counting only the distinct ones).

The product of its (nonzero) digits is 52488, while the sum is 42.

The spelling of 131069311296 in words is "one hundred thirty-one billion, sixty-nine million, three hundred eleven thousand, two hundred ninety-six".