1012333131961 has 2 divisors, whose sum is σ = 1012333131962. Its totient is φ = 1012333131960.

The previous prime is 1012333131947. The next prime is 1012333132037. The reversal of 1012333131961 is 1691313332101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1012196966400 + 136165561 = 1006080^2 + 11669^2 .

It is an emirp because it is prime and its reverse (1691313332101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1012333131961 - 2³¹ = 1010185648313 is a prime.

It is not a weakly prime, because it can be changed into another prime (1012333134961) 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 as a sum of consecutive naturals, namely, 506166565980 + 506166565981.

It is an arithmetic number, because the mean of its divisors is an integer number (506166565981).

Almost surely, 2^{1012333131961} is an apocalyptic number.

It is an amenable number.

1012333131961 is a deficient number, since it is larger than the sum of its proper divisors (1).

1012333131961 is an equidigital number, since it uses as much as digits as its factorization.

1012333131961 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8748, while the sum is 34.

The spelling of 1012333131961 in words is "one trillion, twelve billion, three hundred thirty-three million, one hundred thirty-one thousand, nine hundred sixty-one".