3131001000101 has 4 divisors (see below), whose sum is σ = 3371847230892. Its totient is φ = 2890154769312.

The previous prime is 3131001000079. The next prime is 3131001000103. The reversal of 3131001000101 is 1010001001313.

It is a happy number.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 1259579736100 + 1871421264001 = 1122310^2 + 1367999^2 .

It is a cyclic number.

It is not a de Polignac number, because 3131001000101 - 2¹⁸ = 3131000737957 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 (3131001000103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 120423115376 + ... + 120423115401.

It is an arithmetic number, because the mean of its divisors is an integer number (842961807723).

Almost surely, 2^{3131001000101} is an apocalyptic number.

It is an amenable number.

3131001000101 is a deficient number, since it is larger than the sum of its proper divisors (240846230791).

3131001000101 is a wasteful number, since it uses less digits than its factorization.

3131001000101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240846230790.

The product of its (nonzero) digits is 9, while the sum is 11.

Adding to 3131001000101 its reverse (1010001001313), we get a palindrome (4141002001414).

The spelling of 3131001000101 in words is "three trillion, one hundred thirty-one billion, one million, one hundred one", and thus it is an aban number.