1141001113311 has 16 divisors (see below), whose sum is σ = 1763866456320. Its totient is φ = 727594912440.

The previous prime is 1141001113309. The next prime is 1141001113319. The reversal of 1141001113311 is 1133111001411.

It is not a de Polignac number, because 1141001113311 - 2¹ = 1141001113309 is a prime.

It is a super-2 number, since 2×1141001113311² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1141001113319) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 918679825 + ... + 918681066.

It is an arithmetic number, because the mean of its divisors is an integer number (110241653520).

Almost surely, 2^{1141001113311} is an apocalyptic number.

1141001113311 is a deficient number, since it is larger than the sum of its proper divisors (622865343009).

1141001113311 is a wasteful number, since it uses less digits than its factorization.

1141001113311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1837360923 (or 1837360917 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 18.

Adding to 1141001113311 its reverse (1133111001411), we get a palindrome (2274112114722).

The spelling of 1141001113311 in words is "one trillion, one hundred forty-one billion, one million, one hundred thirteen thousand, three hundred eleven".