105513112031 has 4 divisors (see below), whose sum is σ = 105572490912. Its totient is φ = 105453733152.

The previous prime is 105513111983. The next prime is 105513112039. The reversal of 105513112031 is 130211315501.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 130211315501 = 9239 ⋅14093659.

It is a cyclic number.

It is not a de Polignac number, because 105513112031 - 2¹⁴ = 105513095647 is a prime.

It is a super-2 number, since 2×105513112031² (a number of 23 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 = 105513111988 and 105513112006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105513112039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 29686775 + ... + 29690328.

It is an arithmetic number, because the mean of its divisors is an integer number (26393122728).

Almost surely, 2^105513112031 is an apocalyptic number.

105513112031 is a deficient number, since it is larger than the sum of its proper divisors (59378881).

105513112031 is an equidigital number, since it uses as much as digits as its factorization.

105513112031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59378880.

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

Adding to 105513112031 its reverse (130211315501), we get a palindrome (235724427532).

The spelling of 105513112031 in words is "one hundred five billion, five hundred thirteen million, one hundred twelve thousand, thirty-one".