1012066361131 has 32 divisors (see below), whose sum is σ = 1200188183040. Its totient is φ = 835015620096.

The previous prime is 1012066361063. The next prime is 1012066361149. The reversal of 1012066361131 is 1311636602101.

It is not a de Polignac number, because 1012066361131 - 2¹⁷ = 1012066230059 is a prime.

It is a super-2 number, since 2×1012066361131² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1012066361093 and 1012066361102.

It is not an unprimeable number, because it can be changed into a prime (1012066361231) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 146524180 + ... + 146531086.

It is an arithmetic number, because the mean of its divisors is an integer number (37505880720).

Almost surely, 2^{1012066361131} is an apocalyptic number.

1012066361131 is a deficient number, since it is larger than the sum of its proper divisors (188121821909).

1012066361131 is a wasteful number, since it uses less digits than its factorization.

1012066361131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9043.

The product of its (nonzero) digits is 3888, while the sum is 31.

The spelling of 1012066361131 in words is "one trillion, twelve billion, sixty-six million, three hundred sixty-one thousand, one hundred thirty-one".