10011144431113 has 32 divisors (see below), whose sum is σ = 12181485279744. Its totient is φ = 8031551127552.

The previous prime is 10011144431083. The next prime is 10011144431131. The reversal of 10011144431113 is 31113444111001.

It is a cyclic number.

It is not a de Polignac number, because 10011144431113 - 2¹³ = 10011144422921 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10011144431143) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17781181 + ... + 18335557.

It is an arithmetic number, because the mean of its divisors is an integer number (380671414992).

Almost surely, 2^{10011144431113} is an apocalyptic number.

It is an amenable number.

10011144431113 is a deficient number, since it is larger than the sum of its proper divisors (2170340848631).

10011144431113 is a wasteful number, since it uses less digits than its factorization.

10011144431113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 555241.

The product of its (nonzero) digits is 576, while the sum is 25.

Adding to 10011144431113 its reverse (31113444111001), we get a palindrome (41124588542114).

The spelling of 10011144431113 in words is "ten trillion, eleven billion, one hundred forty-four million, four hundred thirty-one thousand, one hundred thirteen".