3131323300101 has 16 divisors (see below), whose sum is σ = 4398217871040. Its totient is φ = 1976157705600.

The previous prime is 3131323300093. The next prime is 3131323300123. The reversal of 3131323300101 is 1010033231313.

It is not a de Polignac number, because 3131323300101 - 2³ = 3131323300093 is a prime.

It is a super-2 number, since 2×3131323300101² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3131323305101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21038640 + ... + 21186953.

It is an arithmetic number, because the mean of its divisors is an integer number (274888616940).

Almost surely, 2^{3131323300101} is an apocalyptic number.

It is an amenable number.

3131323300101 is a deficient number, since it is larger than the sum of its proper divisors (1266894570939).

3131323300101 is a wasteful number, since it uses less digits than its factorization.

3131323300101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42226916.

The product of its (nonzero) digits is 486, while the sum is 21.

Adding to 3131323300101 its reverse (1010033231313), we get a palindrome (4141356531414).

The spelling of 3131323300101 in words is "three trillion, one hundred thirty-one billion, three hundred twenty-three million, three hundred thousand, one hundred one".