101133413 has 2 divisors, whose sum is σ = 101133414. Its totient is φ = 101133412.

The previous prime is 101133401. The next prime is 101133419. The reversal of 101133413 is 314331101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 74269924 + 26863489 = 8618^2 + 5183^2 .

It is a cyclic number.

It is not a de Polignac number, because 101133413 - 2¹⁰ = 101132389 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101133391 and 101133400.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101133419) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50566706 + 50566707.

It is an arithmetic number, because the mean of its divisors is an integer number (50566707).

Almost surely, 2^101133413 is an apocalyptic number.

It is an amenable number.

101133413 is a deficient number, since it is larger than the sum of its proper divisors (1).

101133413 is an equidigital number, since it uses as much as digits as its factorization.

101133413 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 108, while the sum is 17.

The square root of 101133413 is about 10056.5109754825. The cubic root of 101133413 is about 465.9059119173.

Adding to 101133413 its reverse (314331101), we get a palindrome (415464514).

The spelling of 101133413 in words is "one hundred one million, one hundred thirty-three thousand, four hundred thirteen".