1011131113003 has 32 divisors (see below), whose sum is σ = 1137758869440. Its totient is φ = 890507520000.

The previous prime is 1011131112991. The next prime is 1011131113009. The reversal of 1011131113003 is 3003111311101.

It is a cyclic number.

It is not a de Polignac number, because 1011131113003 - 2³³ = 1002541178411 is a prime.

It is a super-2 number, since 2×1011131113003² (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 (1011131113009) 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, 205972513 + ... + 205977421.

It is an arithmetic number, because the mean of its divisors is an integer number (35554964670).

Almost surely, 2^{1011131113003} is an apocalyptic number.

1011131113003 is a deficient number, since it is larger than the sum of its proper divisors (126627756437).

1011131113003 is a wasteful number, since it uses less digits than its factorization.

1011131113003 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7039.

The product of its (nonzero) digits is 27, while the sum is 16.

Adding to 1011131113003 its reverse (3003111311101), we get a palindrome (4014242424104).

The spelling of 1011131113003 in words is "one trillion, eleven billion, one hundred thirty-one million, one hundred thirteen thousand, three".