131006354704 has 45 divisors (see below), whose sum is σ = 260284593541. Its totient is φ = 63876583040.

The previous prime is 131006354701. The next prime is 131006354707. The reversal of 131006354704 is 407453600131.

The square root of 131006354704 is 361948.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (131006354701) and next prime (131006354707).

It can be written as a sum of positive squares in only one way, i.e., 6312620304 + 124693734400 = 79452^2 + 353120^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 131006354704.

It is not an unprimeable number, because it can be changed into a prime (131006354701) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 59358369 + ... + 59360575.

Almost surely, 2^131006354704 is an apocalyptic number.

131006354704 is the 361948-th square number.

It is an amenable number.

131006354704 is a deficient number, since it is larger than the sum of its proper divisors (129278238837).

131006354704 is an frugal number, since it uses more digits than its factorization.

131006354704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4504 (or 2250 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 34.

Adding to 131006354704 its reverse (407453600131), we get a palindrome (538459954835).

The spelling of 131006354704 in words is "one hundred thirty-one billion, six million, three hundred fifty-four thousand, seven hundred four".