1306461061233 has 6 divisors (see below), whose sum is σ = 1887110421794. Its totient is φ = 870974040816.

The previous prime is 1306461061189. The next prime is 1306461061249. The reversal of 1306461061233 is 3321601646031.

1306461061233 is a `hidden beast` number, since 1 + 3 + 0 + 6 + 4 + 6 + 1 + 0 + 612 + 33 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1212339729969 + 94121331264 = 1101063^2 + 306792^2 .

It is not a de Polignac number, because 1306461061233 - 2²⁵ = 1306427506801 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1306461063233) 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 5 ways as a sum of consecutive naturals, for example, 72581170060 + ... + 72581170077.

Almost surely, 2^{1306461061233} is an apocalyptic number.

It is an amenable number.

1306461061233 is a deficient number, since it is larger than the sum of its proper divisors (580649360561).

1306461061233 is a wasteful number, since it uses less digits than its factorization.

1306461061233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145162340143 (or 145162340140 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The spelling of 1306461061233 in words is "one trillion, three hundred six billion, four hundred sixty-one million, sixty-one thousand, two hundred thirty-three".