1111001133131 has 16 divisors (see below), whose sum is σ = 1177358624640. Its totient is φ = 1045455802560.

The previous prime is 1111001133097. The next prime is 1111001133149. The reversal of 1111001133131 is 1313311001111.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1111001133131 is a prime.

It is a super-2 number, since 2×1111001133131² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1111001135131) 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 15 ways as a sum of consecutive naturals, for example, 1352936 + ... + 2013066.

It is an arithmetic number, because the mean of its divisors is an integer number (73584914040).

Almost surely, 2^{1111001133131} is an apocalyptic number.

1111001133131 is a deficient number, since it is larger than the sum of its proper divisors (66357491509).

1111001133131 is a wasteful number, since it uses less digits than its factorization.

1111001133131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 660746.

The product of its (nonzero) digits is 27, while the sum is 17.

Adding to 1111001133131 its reverse (1313311001111), we get a palindrome (2424312134242).

The spelling of 1111001133131 in words is "one trillion, one hundred eleven billion, one million, one hundred thirty-three thousand, one hundred thirty-one".