11001145213005 has 64 divisors (see below), whose sum is σ = 18447646261248. Its totient is φ = 5587626781440.

The previous prime is 11001145212979. The next prime is 11001145213021. The reversal of 11001145213005 is 50031254110011.

It is not a de Polignac number, because 11001145213005 - 2¹³ = 11001145204813 is a prime.

It is a super-2 number, since 2×11001145213005² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 76783735 + ... + 76926875.

It is an arithmetic number, because the mean of its divisors is an integer number (288244472832).

Almost surely, 2^{11001145213005} is an apocalyptic number.

11001145213005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11001145213005 is a deficient number, since it is larger than the sum of its proper divisors (7446501048243).

11001145213005 is a wasteful number, since it uses less digits than its factorization.

11001145213005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144146.

The product of its (nonzero) digits is 600, while the sum is 24.

Adding to 11001145213005 its reverse (50031254110011), we get a palindrome (61032399323016).

The spelling of 11001145213005 in words is "eleven trillion, one billion, one hundred forty-five million, two hundred thirteen thousand, five".