1012133011 has 16 divisors (see below), whose sum is σ = 1068328800. Its totient is φ = 957761280.

The previous prime is 1012132991. The next prime is 1012133053. The reversal of 1012133011 is 1103312101.

It is a cyclic number.

It is not a de Polignac number, because 1012133011 - 2¹¹ = 1012130963 is a prime.

It is a super-2 number, since 2×1012133011² = 2048826463911852242, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1012132982 and 1012133000.

It is not an unprimeable number, because it can be changed into a prime (1012130011) 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 15 ways as a sum of consecutive naturals, for example, 260761 + ... + 264613.

It is an arithmetic number, because the mean of its divisors is an integer number (66770550).

Almost surely, 2^1012133011 is an apocalyptic number.

1012133011 is a deficient number, since it is larger than the sum of its proper divisors (56195789).

1012133011 is a wasteful number, since it uses less digits than its factorization.

1012133011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4086.

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

The square root of 1012133011 is about 31814.0379549657. The cubic root of 1012133011 is about 1004.0280897074.

Adding to 1012133011 its reverse (1103312101), we get a palindrome (2115445112).

The spelling of 1012133011 in words is "one billion, twelve million, one hundred thirty-three thousand, eleven".