3141366312101 has 16 divisors (see below), whose sum is σ = 3355962631344. Its totient is φ = 2930088075264.

The previous prime is 3141366312089. The next prime is 3141366312113. The reversal of 3141366312101 is 1012136631413.

3141366312101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 1772390²+1.

It is an interprime number because it is at equal distance from previous prime (3141366312089) and next prime (3141366312113).

It can be written as a sum of positive squares in 8 ways, for example, as 383272428100 + 2758093884001 = 619090^2 + 1660751^2 .

It is a cyclic number.

It is not a de Polignac number, because 3141366312101 - 2³⁰ = 3140292570277 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3141366312131) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18034115 + ... + 18207471.

It is an arithmetic number, because the mean of its divisors is an integer number (209747664459).

Almost surely, 2^{3141366312101} is an apocalyptic number.

It is an amenable number.

3141366312101 is a deficient number, since it is larger than the sum of its proper divisors (214596319243).

3141366312101 is a wasteful number, since it uses less digits than its factorization.

3141366312101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182920.

The product of its (nonzero) digits is 7776, while the sum is 32.

The spelling of 3141366312101 in words is "three trillion, one hundred forty-one billion, three hundred sixty-six million, three hundred twelve thousand, one hundred one".