311431042202121 has 32 divisors (see below), whose sum is σ = 488521044000000. Its totient is φ = 195407007909120.

The previous prime is 311431042202057. The next prime is 311431042202129. The reversal of 311431042202121 is 121202240134113.

311431042202121 is a `hidden beast` number, since 3 + 1 + 1 + 4 + 310 + 4 + 220 + 2 + 121 = 666.

It is not a de Polignac number, because 311431042202121 - 2⁶ = 311431042202057 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (311431042202129) 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, 145241476 + ... + 147370106.

It is an arithmetic number, because the mean of its divisors is an integer number (15266282625000).

Almost surely, 2^{311431042202121} is an apocalyptic number.

It is an amenable number.

311431042202121 is a deficient number, since it is larger than the sum of its proper divisors (177090001797879).

311431042202121 is a wasteful number, since it uses less digits than its factorization.

311431042202121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2447406 (or 2447400 counting only the distinct ones).

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

Adding to 311431042202121 its reverse (121202240134113), we get a palindrome (432633282336234).

The spelling of 311431042202121 in words is "three hundred eleven trillion, four hundred thirty-one billion, forty-two million, two hundred two thousand, one hundred twenty-one".