105013131251 has 8 divisors (see below), whose sum is σ = 120543709440. Its totient is φ = 89614728648.

The previous prime is 105013131241. The next prime is 105013131263. The reversal of 105013131251 is 152131310501.

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 105013131251 - 2¹⁸ = 105012869107 is a prime.

It is a super-3 number, since 3×105013131251³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (105013131211) 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, 33042191 + ... + 33045368.

It is an arithmetic number, because the mean of its divisors is an integer number (15067963680).

Almost surely, 2^105013131251 is an apocalyptic number.

105013131251 is a deficient number, since it is larger than the sum of its proper divisors (15530578189).

105013131251 is an equidigital number, since it uses as much as digits as its factorization.

105013131251 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66087793.

The product of its (nonzero) digits is 450, while the sum is 23.

Adding to 105013131251 its reverse (152131310501), we get a palindrome (257144441752).

The spelling of 105013131251 in words is "one hundred five billion, thirteen million, one hundred thirty-one thousand, two hundred fifty-one".