11001101131131 has 32 divisors (see below), whose sum is σ = 14867675359488. Its totient is φ = 7234806190080.

The previous prime is 11001101131109. The next prime is 11001101131217. The reversal of 11001101131131 is 13113110110011.

11001101131131 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11001101131131 - 2⁷ = 11001101131003 is a prime.

It is a super-2 number, since 2×11001101131131² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 11001101131131.

It is not an unprimeable number, because it can be changed into a prime (11001101131831) 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, 287058451 + ... + 287096771.

It is an arithmetic number, because the mean of its divisors is an integer number (464614854984).

Almost surely, 2^{11001101131131} is an apocalyptic number.

11001101131131 is a deficient number, since it is larger than the sum of its proper divisors (3866574228357).

11001101131131 is a wasteful number, since it uses less digits than its factorization.

11001101131131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41611.

The product of its (nonzero) digits is 9, while the sum is 15.

Adding to 11001101131131 its reverse (13113110110011), we get a palindrome (24114211241142).

The spelling of 11001101131131 in words is "eleven trillion, one billion, one hundred one million, one hundred thirty-one thousand, one hundred thirty-one".