1001116613231 has 64 divisors (see below), whose sum is σ = 1272669179904. Its totient is φ = 767854080000.

The previous prime is 1001116613221. The next prime is 1001116613249. The reversal of 1001116613231 is 1323166111001.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2^k-1001116613231 is a prime.

It is a super-2 number, since 2×1001116613231² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1001116613231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001116613221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 142992731 + ... + 142999731.

It is an arithmetic number, because the mean of its divisors is an integer number (19885455936).

Almost surely, 2^{1001116613231} is an apocalyptic number.

1001116613231 is a deficient number, since it is larger than the sum of its proper divisors (271552566673).

1001116613231 is a wasteful number, since it uses less digits than its factorization.

1001116613231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7800.

The product of its (nonzero) digits is 648, while the sum is 26.

The spelling of 1001116613231 in words is "one trillion, one billion, one hundred sixteen million, six hundred thirteen thousand, two hundred thirty-one".