1100133301131 has 48 divisors (see below), whose sum is σ = 1653200165760. Its totient is φ = 704348835840.

The previous prime is 1100133301123. The next prime is 1100133301177. The reversal of 1100133301131 is 1311033310011.

1100133301131 is a `hidden beast` number, since 1 + 100 + 133 + 301 + 131 = 666.

It is not a de Polignac number, because 1100133301131 - 2³ = 1100133301123 is a prime.

It is a super-2 number, since 2×1100133301131² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1100133306131) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 160811271 + ... + 160818111.

It is an arithmetic number, because the mean of its divisors is an integer number (34441670120).

Almost surely, 2^{1100133301131} is an apocalyptic number.

1100133301131 is a deficient number, since it is larger than the sum of its proper divisors (553066864629).

1100133301131 is a wasteful number, since it uses less digits than its factorization.

1100133301131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13076 (or 13073 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 18.

Adding to 1100133301131 its reverse (1311033310011), we get a palindrome (2411166611142).

The spelling of 1100133301131 in words is "one trillion, one hundred billion, one hundred thirty-three million, three hundred one thousand, one hundred thirty-one".