1105114431321 has 80 divisors (see below), whose sum is σ = 1672285824000. Its totient is φ = 727262945280.

The previous prime is 1105114431299. The next prime is 1105114431347. The reversal of 1105114431321 is 1231344115011.

1105114431321 is a `hidden beast` number, since 1 + 10 + 511 + 4 + 4 + 3 + 132 + 1 = 666.

It is not a de Polignac number, because 1105114431321 - 2¹⁰ = 1105114430297 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1105114431521) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1984047175 + ... + 1984047731.

It is an arithmetic number, because the mean of its divisors is an integer number (20903572800).

Almost surely, 2^{1105114431321} is an apocalyptic number.

It is an amenable number.

1105114431321 is a deficient number, since it is larger than the sum of its proper divisors (567171392679).

1105114431321 is a wasteful number, since it uses less digits than its factorization.

1105114431321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1516 (or 1507 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

Adding to 1105114431321 its reverse (1231344115011), we get a palindrome (2336458546332).

The spelling of 1105114431321 in words is "one trillion, one hundred five billion, one hundred fourteen million, four hundred thirty-one thousand, three hundred twenty-one".