101315133 has 12 divisors (see below), whose sum is σ = 146477500. Its totient is φ = 67481856.

The previous prime is 101315131. The next prime is 101315147. The reversal of 101315133 is 331513101.

It can be written as a sum of positive squares in 2 ways, for example, as 44116164 + 57198969 = 6642^2 + 7563^2 .

It is not a de Polignac number, because 101315133 - 2¹ = 101315131 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101315131) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6735 + ... + 15747.

Almost surely, 2^101315133 is an apocalyptic number.

It is an amenable number.

101315133 is a deficient number, since it is larger than the sum of its proper divisors (45162367).

101315133 is a wasteful number, since it uses less digits than its factorization.

101315133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10268 (or 10265 counting only the distinct ones).

The product of its (nonzero) digits is 135, while the sum is 18.

The square root of 101315133 is about 10065.5418632084. The cubic root of 101315133 is about 466.1847968774.

Adding to 101315133 its reverse (331513101), we get a palindrome (432828234).

The spelling of 101315133 in words is "one hundred one million, three hundred fifteen thousand, one hundred thirty-three".