100780013 has 2 divisors, whose sum is σ = 100780014. Its totient is φ = 100780012.

The previous prime is 100779949. The next prime is 100780019. The reversal of 100780013 is 310087001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 52157284 + 48622729 = 7222^2 + 6973^2 .

It is a cyclic number.

It is not a de Polignac number, because 100780013 - 2⁶ = 100779949 is a prime.

It is a super-2 number, since 2×100780013² = 20313222040560338, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100780019) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50390006 + 50390007.

It is an arithmetic number, because the mean of its divisors is an integer number (50390007).

Almost surely, 2^100780013 is an apocalyptic number.

It is an amenable number.

100780013 is a deficient number, since it is larger than the sum of its proper divisors (1).

100780013 is an equidigital number, since it uses as much as digits as its factorization.

100780013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 168, while the sum is 20.

The square root of 100780013 is about 10038.9248926367. The cubic root of 100780013 is about 465.3625922801.

The spelling of 100780013 in words is "one hundred million, seven hundred eighty thousand, thirteen".