1012131231201 has 12 divisors (see below), whose sum is σ = 1461993768612. Its totient is φ = 674741953536.

The previous prime is 1012131231179. The next prime is 1012131231227. The reversal of 1012131231201 is 1021321312101.

1012131231201 is a `hidden beast` number, since 1 + 0 + 121 + 312 + 31 + 201 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 75378251601 + 936752979600 = 274551^2 + 967860^2 .

It is not a de Polignac number, because 1012131231201 - 2¹⁵ = 1012131198433 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1012131231271) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 476196 + ... + 1500341.

It is an arithmetic number, because the mean of its divisors is an integer number (121832814051).

Almost surely, 2^{1012131231201} is an apocalyptic number.

It is an amenable number.

1012131231201 is a deficient number, since it is larger than the sum of its proper divisors (449862537411).

1012131231201 is a wasteful number, since it uses less digits than its factorization.

1012131231201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2033440 (or 2033437 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 1012131231201 its reverse (1021321312101), we get a palindrome (2033452543302).

The spelling of 1012131231201 in words is "one trillion, twelve billion, one hundred thirty-one million, two hundred thirty-one thousand, two hundred one".