9981100513 has 2 divisors, whose sum is σ = 9981100514. Its totient is φ = 9981100512.

The previous prime is 9981100489. The next prime is 9981100559. The reversal of 9981100513 is 3150011899.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8294109184 + 1686991329 = 91072^2 + 41073^2 .

It is a cyclic number.

It is not a de Polignac number, because 9981100513 - 2¹³ = 9981092321 is a prime.

It is not a weakly prime, because it can be changed into another prime (9981101513) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4990550256 + 4990550257.

It is an arithmetic number, because the mean of its divisors is an integer number (4990550257).

Almost surely, 2^9981100513 is an apocalyptic number.

It is an amenable number.

9981100513 is a deficient number, since it is larger than the sum of its proper divisors (1).

9981100513 is an equidigital number, since it uses as much as digits as its factorization.

9981100513 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 9720, while the sum is 37.

The square root of 9981100513 is about 99905.4578739320. The cubic root of 9981100513 is about 2153.0765770704.

The spelling of 9981100513 in words is "nine billion, nine hundred eighty-one million, one hundred thousand, five hundred thirteen".