13100010313 has 16 divisors (see below), whose sum is σ = 14855169280. Its totient is φ = 11452057344.

The previous prime is 13100010299. The next prime is 13100010323. The reversal of 13100010313 is 31301000131.

It is a happy number.

It is not a de Polignac number, because 13100010313 - 2⁹ = 13100009801 is a prime.

It is a super-2 number, since 2×13100010313² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13100010293 and 13100010302.

It is not an unprimeable number, because it can be changed into a prime (13100010323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 937345 + ... + 951217.

It is an arithmetic number, because the mean of its divisors is an integer number (928448080).

Almost surely, 2^13100010313 is an apocalyptic number.

13100010313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

13100010313 is a deficient number, since it is larger than the sum of its proper divisors (1755158967).

13100010313 is a wasteful number, since it uses less digits than its factorization.

13100010313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17728.

The product of its (nonzero) digits is 27, while the sum is 13.

Adding to 13100010313 its reverse (31301000131), we get a palindrome (44401010444).

The spelling of 13100010313 in words is "thirteen billion, one hundred million, ten thousand, three hundred thirteen".