105513011351 has 8 divisors (see below), whose sum is σ = 116011444224. Its totient is φ = 95165635320.

The previous prime is 105513011347. The next prime is 105513011369. The reversal of 105513011351 is 153110315501.

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 105513011351 - 2² = 105513011347 is a prime.

It is a super-2 number, since 2×105513011351² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 105513011351.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105513011251) 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, 37762745 + ... + 37765538.

It is an arithmetic number, because the mean of its divisors is an integer number (14501430528).

Almost surely, 2^105513011351 is an apocalyptic number.

105513011351 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

105513011351 is a deficient number, since it is larger than the sum of its proper divisors (10498432873).

105513011351 is a wasteful number, since it uses less digits than its factorization.

105513011351 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75528421.

The product of its (nonzero) digits is 1125, while the sum is 26.

Adding to 105513011351 its reverse (153110315501), we get a palindrome (258623326852).

The spelling of 105513011351 in words is "one hundred five billion, five hundred thirteen million, eleven thousand, three hundred fifty-one".