105515151313 has 32 divisors (see below), whose sum is σ = 125346009600. Its totient is φ = 87559127040.

The previous prime is 105515151307. The next prime is 105515151331. The reversal of 105515151313 is 313151515501.

It is a de Polignac number, because none of the positive numbers 2^k-105515151313 is a prime.

It is a super-2 number, since 2×105515151313² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105515151373) 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, 7248120 + ... + 7262662.

It is an arithmetic number, because the mean of its divisors is an integer number (3917062800).

Almost surely, 2^105515151313 is an apocalyptic number.

105515151313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

105515151313 is a deficient number, since it is larger than the sum of its proper divisors (19830858287).

105515151313 is a wasteful number, since it uses less digits than its factorization.

105515151313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15129.

The product of its (nonzero) digits is 5625, while the sum is 31.

Adding to 105515151313 its reverse (313151515501), we get a palindrome (418666666814).

The spelling of 105515151313 in words is "one hundred five billion, five hundred fifteen million, one hundred fifty-one thousand, three hundred thirteen".