131006398464 has 680 divisors, whose sum is σ = 433918409760. Its totient is φ = 39239811072.

The previous prime is 131006398423. The next prime is 131006398483. The reversal of 131006398464 is 464893600131.

131006398464 is a `hidden beast` number, since 1 + 3 + 1 + 0 + 0 + 639 + 8 + 4 + 6 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3540713454 + ... + 3540713490.

Almost surely, 2^131006398464 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 131006398464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216959204880).

131006398464 is an abundant number, since it is smaller than the sum of its proper divisors (302912011296).

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

131006398464 is an frugal number, since it uses more digits than its factorization.

131006398464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

Adding to 131006398464 its reverse (464893600131), we get a palindrome (595899998595).

The spelling of 131006398464 in words is "one hundred thirty-one billion, six million, three hundred ninety-eight thousand, four hundred sixty-four".