100101013 has 2 divisors, whose sum is σ = 100101014. Its totient is φ = 100101012.

The previous prime is 100101007. The next prime is 100101041. The reversal of 100101013 is 310101001.

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., 100040004 + 61009 = 10002^2 + 247^2 .

It is a cyclic number.

It is not a de Polignac number, because 100101013 - 2¹⁷ = 99969941 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100100987 and 100101005.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100101073) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50050506 + 50050507.

It is an arithmetic number, because the mean of its divisors is an integer number (50050507).

Almost surely, 2^100101013 is an apocalyptic number.

It is an amenable number.

100101013 is a deficient number, since it is larger than the sum of its proper divisors (1).

100101013 is an equidigital number, since it uses as much as digits as its factorization.

100101013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3, while the sum is 7.

The square root of 100101013 is about 10005.0493751905. The cubic root of 100101013 is about 464.3151177050.

Adding to 100101013 its reverse (310101001), we get a palindrome (410202014).

The spelling of 100101013 in words is "one hundred million, one hundred one thousand, thirteen".