1061013121 has 12 divisors (see below), whose sum is σ = 1234784388. Its totient is φ = 909038592.

The previous prime is 1061013113. The next prime is 1061013133. The reversal of 1061013121 is 1213101601.

It can be written as a sum of positive squares in 2 ways, for example, as 566440000 + 494573121 = 23800^2 + 22239^2 .

It is not a de Polignac number, because 1061013121 - 2³ = 1061013113 is a prime.

It is a super-2 number, since 2×1061013121² = 2251497685868321282, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1061013095 and 1061013104.

It is not an unprimeable number, because it can be changed into a prime (1061913121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 178225 + ... + 184081.

It is an arithmetic number, because the mean of its divisors is an integer number (102898699).

Almost surely, 2^1061013121 is an apocalyptic number.

It is an amenable number.

1061013121 is a deficient number, since it is larger than the sum of its proper divisors (173771267).

1061013121 is an equidigital number, since it uses as much as digits as its factorization.

1061013121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9568 (or 9561 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

The square root of 1061013121 is about 32573.1963583557. The cubic root of 1061013121 is about 1019.9375589740.

Adding to 1061013121 its reverse (1213101601), we get a palindrome (2274114722).

The spelling of 1061013121 in words is "one billion, sixty-one million, thirteen thousand, one hundred twenty-one".