13001013102031 has 4 divisors (see below), whose sum is σ = 13001021838000. Its totient is φ = 13001004366064.

The previous prime is 13001013101981. The next prime is 13001013102041. The reversal of 13001013102031 is 13020131010031.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It is a cyclic number.

It is not a de Polignac number, because 13001013102031 - 2²⁷ = 13000878884303 is a prime.

It is a super-2 number, since 2×13001013102031² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13001013101996 and 13001013102014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13001013102041) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1514131 + ... + 5319268.

It is an arithmetic number, because the mean of its divisors is an integer number (3250255459500).

Almost surely, 2^{13001013102031} is an apocalyptic number.

13001013102031 is a deficient number, since it is larger than the sum of its proper divisors (8735969).

13001013102031 is an equidigital number, since it uses as much as digits as its factorization.

13001013102031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8735968.

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 13001013102031 its reverse (13020131010031), we get a palindrome (26021144112062).

The spelling of 13001013102031 in words is "thirteen trillion, one billion, thirteen million, one hundred two thousand, thirty-one".