110131133013 has 54 divisors (see below), whose sum is σ = 182788534838. Its totient is φ = 63843801120.

The previous prime is 110131132981. The next prime is 110131133039. The reversal of 110131133013 is 310331131011.

110131133013 is a `hidden beast` number, since 1 + 10 + 1 + 311 + 330 + 13 = 666.

It can be written as a sum of positive squares in only one way, i.e., 71784877329 + 38346255684 = 267927^2 + 195822^2 .

It is not a de Polignac number, because 110131133013 - 2⁵ = 110131132981 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110131133083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 480495 + ... + 671667.

Almost surely, 2^110131133013 is an apocalyptic number.

It is an amenable number.

110131133013 is a deficient number, since it is larger than the sum of its proper divisors (72657401825).

110131133013 is a wasteful number, since it uses less digits than its factorization.

110131133013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191247 (or 191210 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 18.

Adding to 110131133013 its reverse (310331131011), we get a palindrome (420462264024).

The spelling of 110131133013 in words is "one hundred ten billion, one hundred thirty-one million, one hundred thirty-three thousand, thirteen".