1013123002101 has 32 divisors (see below), whose sum is σ = 1553602498560. Its totient is φ = 575256389376.

The previous prime is 1013123002093. The next prime is 1013123002109. The reversal of 1013123002101 is 1012003213101.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1013123002093) and next prime (1013123002109).

It is not a de Polignac number, because 1013123002101 - 2³ = 1013123002093 is a prime.

It is a super-3 number, since 3×1013123002101³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1013123002109) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10109920 + ... + 10209638.

It is an arithmetic number, because the mean of its divisors is an integer number (48550078080).

Almost surely, 2^{1013123002101} is an apocalyptic number.

It is an amenable number.

1013123002101 is a deficient number, since it is larger than the sum of its proper divisors (540479496459).

1013123002101 is a wasteful number, since it uses less digits than its factorization.

1013123002101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102793.

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 1013123002101 its reverse (1012003213101), we get a palindrome (2025126215202).

The spelling of 1013123002101 in words is "one trillion, thirteen billion, one hundred twenty-three million, two thousand, one hundred one".