101313133302002 has 16 divisors (see below), whose sum is σ = 156077663802840. Its totient is φ = 49287257203968.

The previous prime is 101313133301927. The next prime is 101313133302077. The reversal of 101313133302002 is 200203331313101.

It is an interprime number because it is at equal distance from previous prime (101313133301927) and next prime (101313133302077).

It can be written as a sum of positive squares in 4 ways, for example, as 86682821950321 + 14630311351681 = 9310361^2 + 3824959^2 .

It is a super-3 number, since 3×101313133302002³ (a number of 43 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15008048 + ... + 20684964.

Almost surely, 2^{101313133302002} is an apocalyptic number.

101313133302002 is a deficient number, since it is larger than the sum of its proper divisors (54764530500838).

101313133302002 is a wasteful number, since it uses less digits than its factorization.

101313133302002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5918125.

The product of its (nonzero) digits is 972, while the sum is 23.

Adding to 101313133302002 its reverse (200203331313101), we get a palindrome (301516464615103).

The spelling of 101313133302002 in words is "one hundred one trillion, three hundred thirteen billion, one hundred thirty-three million, three hundred two thousand, two".