1040312413121 has 2 divisors, whose sum is σ = 1040312413122. Its totient is φ = 1040312413120.

The previous prime is 1040312413087. The next prime is 1040312413199. The reversal of 1040312413121 is 1213142130401.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1033516224400 + 6796188721 = 1016620^2 + 82439^2 .

It is an emirp because it is prime and its reverse (1213142130401) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1040312413121 - 2⁶ = 1040312413057 is a prime.

It is not a weakly prime, because it can be changed into another prime (1040312413421) 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, 520156206560 + 520156206561.

It is an arithmetic number, because the mean of its divisors is an integer number (520156206561).

Almost surely, 2^{1040312413121} is an apocalyptic number.

It is an amenable number.

1040312413121 is a deficient number, since it is larger than the sum of its proper divisors (1).

1040312413121 is an equidigital number, since it uses as much as digits as its factorization.

1040312413121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 576, while the sum is 23.

Adding to 1040312413121 its reverse (1213142130401), we get a palindrome (2253454543522).

It can be divided in two parts, 104031 and 2413121, that added together give a palindrome (2517152).

The spelling of 1040312413121 in words is "one trillion, forty billion, three hundred twelve million, four hundred thirteen thousand, one hundred twenty-one".