100251413 has 2 divisors, whose sum is σ = 100251414. Its totient is φ = 100251412.

The previous prime is 100251407. The next prime is 100251419. The reversal of 100251413 is 314152001.

It is a balanced prime because it is at equal distance from previous prime (100251407) and next prime (100251419).

It can be written as a sum of positive squares in only one way, i.e., 92891044 + 7360369 = 9638^2 + 2713^2 .

It is a cyclic number.

It is not a de Polignac number, because 100251413 - 2¹⁴ = 100235029 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100251391 and 100251400.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100251419) by changing a digit.

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 as a sum of consecutive naturals, namely, 50125706 + 50125707.

It is an arithmetic number, because the mean of its divisors is an integer number (50125707).

Almost surely, 2^100251413 is an apocalyptic number.

It is an amenable number.

100251413 is a deficient number, since it is larger than the sum of its proper divisors (1).

100251413 is an equidigital number, since it uses as much as digits as its factorization.

100251413 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 120, while the sum is 17.

The square root of 100251413 is about 10012.5627588545. The cubic root of 100251413 is about 464.5475430871.

The spelling of 100251413 in words is "one hundred million, two hundred fifty-one thousand, four hundred thirteen".