31131200001121 has 32 divisors (see below), whose sum is σ = 34868297318400. Its totient is φ = 27557549585280.

The previous prime is 31131200001089. The next prime is 31131200001157. The reversal of 31131200001121 is 12110000213113.

It is a happy number.

It is not a de Polignac number, because 31131200001121 - 2⁵ = 31131200001089 is a prime.

It is a super-2 number, since 2×31131200001121² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 31131200001095 and 31131200001104.

It is not an unprimeable number, because it can be changed into a prime (31131200001721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19984525 + ... + 21485893.

It is an arithmetic number, because the mean of its divisors is an integer number (1089634291200).

Almost surely, 2^{31131200001121} is an apocalyptic number.

It is an amenable number.

31131200001121 is a deficient number, since it is larger than the sum of its proper divisors (3737097317279).

31131200001121 is a wasteful number, since it uses less digits than its factorization.

31131200001121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1501789.

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 31131200001121 its reverse (12110000213113), we get a palindrome (43241200214234).

The spelling of 31131200001121 in words is "thirty-one trillion, one hundred thirty-one billion, two hundred million, one thousand, one hundred twenty-one".