1011131143131 has 16 divisors (see below), whose sum is σ = 1361078128160. Its totient is φ = 667666298880.

The previous prime is 1011131143117. The next prime is 1011131143151. The reversal of 1011131143131 is 1313411311101.

It is not a de Polignac number, because 1011131143131 - 2³⁰ = 1010057401307 is a prime.

It is a super-2 number, since 2×1011131143131² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1011131143098 and 1011131143107.

It is not an unprimeable number, because it can be changed into a prime (1011131143151) 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, 3680380 + ... + 3945561.

It is an arithmetic number, because the mean of its divisors is an integer number (85067383010).

Almost surely, 2^{1011131143131} is an apocalyptic number.

1011131143131 is a deficient number, since it is larger than the sum of its proper divisors (349946985029).

1011131143131 is a wasteful number, since it uses less digits than its factorization.

1011131143131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7626366.

The product of its (nonzero) digits is 108, while the sum is 21.

Adding to 1011131143131 its reverse (1313411311101), we get a palindrome (2324542454232).

The spelling of 1011131143131 in words is "one trillion, eleven billion, one hundred thirty-one million, one hundred forty-three thousand, one hundred thirty-one".