242010311000331 has 32 divisors (see below), whose sum is σ = 340532263526400. Its totient is φ = 152582238151200.

The previous prime is 242010311000287. The next prime is 242010311000357. The reversal of 242010311000331 is 133000113010242.

It is not a de Polignac number, because 242010311000331 - 2¹⁰ = 242010310999307 is a prime.

It is a super-2 number, since 2×242010311000331² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 242010311000298 and 242010311000307.

It is not an unprimeable number, because it can be changed into a prime (242010311000371) 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 31 ways as a sum of consecutive naturals, for example, 46948981 + ... + 51848118.

It is an arithmetic number, because the mean of its divisors is an integer number (10641633235200).

Almost surely, 2^{242010311000331} is an apocalyptic number.

242010311000331 is a deficient number, since it is larger than the sum of its proper divisors (98521952526069).

242010311000331 is a wasteful number, since it uses less digits than its factorization.

242010311000331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98797527.

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 242010311000331 its reverse (133000113010242), we get a palindrome (375010424010573).

The spelling of 242010311000331 in words is "two hundred forty-two trillion, ten billion, three hundred eleven million, three hundred thirty-one", and thus it is an aban number.