1011125531241 has 96 divisors (see below), whose sum is σ = 1757541676800. Its totient is φ = 547929930240.

The previous prime is 1011125531239. The next prime is 1011125531287. The reversal of 1011125531241 is 1421355211101.

1011125531241 is a `hidden beast` number, since 1 + 0 + 1 + 1 + 125 + 531 + 2 + 4 + 1 = 666.

It is not a de Polignac number, because 1011125531241 - 2¹ = 1011125531239 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1011125531441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 82353195 + ... + 82365471.

It is an arithmetic number, because the mean of its divisors is an integer number (18307725800).

Almost surely, 2^{1011125531241} is an apocalyptic number.

It is an amenable number.

1011125531241 is a deficient number, since it is larger than the sum of its proper divisors (746416145559).

1011125531241 is a wasteful number, since it uses less digits than its factorization.

1011125531241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13119 (or 13116 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 27.

The spelling of 1011125531241 in words is "one trillion, eleven billion, one hundred twenty-five million, five hundred thirty-one thousand, two hundred forty-one".