103013101012133 has 8 divisors (see below), whose sum is σ = 111222371278200. Its totient is φ = 94844571542208.

The previous prime is 103013101012099. The next prime is 103013101012183. The reversal of 103013101012133 is 331210101310301.

It can be written as a sum of positive squares in 4 ways, for example, as 6395957334529 + 96617143677604 = 2529023^2 + 9829402^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 103013101012133 - 2¹⁰ = 103013101011109 is a prime.

It is a super-2 number, since 2×103013101012133² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103013101012183) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10185193778 + ... + 10185203891.

It is an arithmetic number, because the mean of its divisors is an integer number (13902796409775).

Almost surely, 2^{103013101012133} is an apocalyptic number.

103013101012133 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

103013101012133 is a deficient number, since it is larger than the sum of its proper divisors (8209270266067).

103013101012133 is a wasteful number, since it uses less digits than its factorization.

103013101012133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20370398071.

The product of its (nonzero) digits is 162, while the sum is 20.

Adding to 103013101012133 its reverse (331210101310301), we get a palindrome (434223202322434).

The spelling of 103013101012133 in words is "one hundred three trillion, thirteen billion, one hundred one million, twelve thousand, one hundred thirty-three".