131122130464 has 144 divisors (see below), whose sum is σ = 291261191256. Its totient is φ = 57750589440.

The previous prime is 131122130411. The next prime is 131122130471. The reversal of 131122130464 is 464031221131.

It can be written as a sum of positive squares in 4 ways, for example, as 126385938064 + 4736192400 = 355508^2 + 68820^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29181402 + ... + 29185894.

Almost surely, 2^131122130464 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 131122130464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145630595628).

131122130464 is an abundant number, since it is smaller than the sum of its proper divisors (160139060792).

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

131122130464 is a wasteful number, since it uses less digits than its factorization.

131122130464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4651 (or 4612 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

Adding to 131122130464 its reverse (464031221131), we get a palindrome (595153351595).

The spelling of 131122130464 in words is "one hundred thirty-one billion, one hundred twenty-two million, one hundred thirty thousand, four hundred sixty-four".