11300311131129 has 24 divisors (see below), whose sum is σ = 16405435176000. Its totient is φ = 7495345614240.

The previous prime is 11300311131127. The next prime is 11300311131139. The reversal of 11300311131129 is 92113111300311.

11300311131129 is a `hidden beast` number, since 1 + 1 + 30 + 0 + 311 + 1 + 311 + 2 + 9 = 666.

It is not a de Polignac number, because 11300311131129 - 2¹ = 11300311131127 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11300311131127) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43263934 + ... + 43524344.

It is an arithmetic number, because the mean of its divisors is an integer number (683559799000).

Almost surely, 2^{11300311131129} is an apocalyptic number.

It is an amenable number.

11300311131129 is a deficient number, since it is larger than the sum of its proper divisors (5105124044871).

11300311131129 is a wasteful number, since it uses less digits than its factorization.

11300311131129 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284845 (or 284842 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 27.

The spelling of 11300311131129 in words is "eleven trillion, three hundred billion, three hundred eleven million, one hundred thirty-one thousand, one hundred twenty-nine".