1031012112213 has 12 divisors (see below), whose sum is σ = 1517338580940. Its totient is φ = 674372702016.

The previous prime is 1031012112187. The next prime is 1031012112259. The reversal of 1031012112213 is 3122112101301.

1031012112213 is a `hidden beast` number, since 10 + 310 + 121 + 1 + 221 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 480057751044 + 550954361169 = 692862^2 + 742263^2 .

It is not a de Polignac number, because 1031012112213 - 2⁶ = 1031012112149 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1031012112283) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1080725008 + ... + 1080725961.

It is an arithmetic number, because the mean of its divisors is an integer number (126444881745).

Almost surely, 2^{1031012112213} is an apocalyptic number.

It is an amenable number.

1031012112213 is a deficient number, since it is larger than the sum of its proper divisors (486326468727).

1031012112213 is a wasteful number, since it uses less digits than its factorization.

1031012112213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2161451028 (or 2161451025 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 1031012112213 its reverse (3122112101301), we get a palindrome (4153124213514).

The spelling of 1031012112213 in words is "one trillion, thirty-one billion, twelve million, one hundred twelve thousand, two hundred thirteen".