100313953 has 2 divisors, whose sum is σ = 100313954. Its totient is φ = 100313952.

The previous prime is 100313897. The next prime is 100313959. The reversal of 100313953 is 359313001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 63250209 + 37063744 = 7953^2 + 6088^2 .

It is an emirp because it is prime and its reverse (359313001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100313953 - 2²¹ = 98216801 is a prime.

It is not a weakly prime, because it can be changed into another prime (100313959) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50156976 + 50156977.

It is an arithmetic number, because the mean of its divisors is an integer number (50156977).

Almost surely, 2^100313953 is an apocalyptic number.

It is an amenable number.

100313953 is a deficient number, since it is larger than the sum of its proper divisors (1).

100313953 is an equidigital number, since it uses as much as digits as its factorization.

100313953 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1215, while the sum is 25.

The square root of 100313953 is about 10015.6853484921. The cubic root of 100313953 is about 464.6441228201.

Adding to 100313953 its reverse (359313001), we get a palindrome (459626954).

The spelling of 100313953 in words is "one hundred million, three hundred thirteen thousand, nine hundred fifty-three".