131121331264 has 168 divisors, whose sum is σ = 341578874880. Its totient is φ = 49324262400.

The previous prime is 131121331247. The next prime is 131121331307. The reversal of 131121331264 is 462133121131.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 934849 + ... + 1065919.

Almost surely, 2^131121331264 is an apocalyptic number.

131121331264 is a gapful number since it is divisible by the number (14) 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 131121331264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170789437440).

131121331264 is an abundant number, since it is smaller than the sum of its proper divisors (210457543616).

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

131121331264 is a wasteful number, since it uses less digits than its factorization.

131121331264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131137 (or 131120 counting only the distinct ones).

The product of its digits is 2592, while the sum is 28.

Adding to 131121331264 its reverse (462133121131), we get a palindrome (593254452395).

The spelling of 131121331264 in words is "one hundred thirty-one billion, one hundred twenty-one million, three hundred thirty-one thousand, two hundred sixty-four".