1010133121 has 2 divisors, whose sum is σ = 1010133122. Its totient is φ = 1010133120.

The previous prime is 1010133083. The next prime is 1010133127. The reversal of 1010133121 is 1213310101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 638067600 + 372065521 = 25260^2 + 19289^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1010133121 is a prime.

It is not a weakly prime, because it can be changed into another prime (1010133127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 505066560 + 505066561.

It is an arithmetic number, because the mean of its divisors is an integer number (505066561).

Almost surely, 2^1010133121 is an apocalyptic number.

It is an amenable number.

1010133121 is a deficient number, since it is larger than the sum of its proper divisors (1).

1010133121 is an equidigital number, since it uses as much as digits as its factorization.

1010133121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18, while the sum is 13.

The square root of 1010133121 is about 31782.5914770964. The cubic root of 1010133121 is about 1003.3663618913.

Adding to 1010133121 its reverse (1213310101), we get a palindrome (2223443222).

The spelling of 1010133121 in words is "one billion, ten million, one hundred thirty-three thousand, one hundred twenty-one".