1024133114241 has 16 divisors (see below), whose sum is σ = 1524858544000. Its totient is φ = 679324474224.

The previous prime is 1024133114231. The next prime is 1024133114293. The reversal of 1024133114241 is 1424113314201.

It is a happy number.

1024133114241 is a `hidden beast` number, since 1 + 0 + 2 + 413 + 3 + 1 + 1 + 4 + 241 = 666.

1024133114241 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1024133114241 - 2¹⁵ = 1024133081473 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1024133114231) 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, 95298286 + ... + 95309031.

It is an arithmetic number, because the mean of its divisors is an integer number (95303659000).

Almost surely, 2^{1024133114241} is an apocalyptic number.

It is an amenable number.

1024133114241 is a deficient number, since it is larger than the sum of its proper divisors (500725429759).

1024133114241 is a wasteful number, since it uses less digits than its factorization.

1024133114241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190607525 (or 190607519 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 1024133114241 its reverse (1424113314201), we get a palindrome (2448246428442).

The spelling of 1024133114241 in words is "one trillion, twenty-four billion, one hundred thirty-three million, one hundred fourteen thousand, two hundred forty-one".