3121331003131 has 16 divisors (see below), whose sum is σ = 3451887196128. Its totient is φ = 2798578080000.

The previous prime is 3121331003117. The next prime is 3121331003137. The reversal of 3121331003131 is 1313001331213.

It is a cyclic number.

It is not a de Polignac number, because 3121331003131 - 2¹¹ = 3121331001083 is a prime.

It is a super-2 number, since 2×3121331003131² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3121331003137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21206965 + ... + 21353641.

It is an arithmetic number, because the mean of its divisors is an integer number (215742949758).

Almost surely, 2^{3121331003131} is an apocalyptic number.

3121331003131 is a deficient number, since it is larger than the sum of its proper divisors (330556192997).

3121331003131 is a wasteful number, since it uses less digits than its factorization.

3121331003131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173262.

The product of its (nonzero) digits is 486, while the sum is 22.

Adding to 3121331003131 its reverse (1313001331213), we get a palindrome (4434332334344).

The spelling of 3121331003131 in words is "three trillion, one hundred twenty-one billion, three hundred thirty-one million, three thousand, one hundred thirty-one".