1013212129 has 2 divisors, whose sum is σ = 1013212130. Its totient is φ = 1013212128.

The previous prime is 1013212061. The next prime is 1013212147. The reversal of 1013212129 is 9212123101.

1013212129 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 888934225 + 124277904 = 29815^2 + 11148^2 .

It is a cyclic number.

It is not a de Polignac number, because 1013212129 - 2⁷ = 1013212001 is a prime.

It is not a weakly prime, because it can be changed into another prime (1013212159) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 506606064 + 506606065.

It is an arithmetic number, because the mean of its divisors is an integer number (506606065).

Almost surely, 2^1013212129 is an apocalyptic number.

It is an amenable number.

1013212129 is a deficient number, since it is larger than the sum of its proper divisors (1).

1013212129 is an equidigital number, since it uses as much as digits as its factorization.

1013212129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 22.

The square root of 1013212129 is about 31830.9932141616. The cubic root of 1013212129 is about 1004.3847885284.

The spelling of 1013212129 in words is "one billion, thirteen million, two hundred twelve thousand, one hundred twenty-nine".