31311323033221 has 128 divisors (see below), whose sum is σ = 42176824934400. Its totient is φ = 22529864448000.

The previous prime is 31311323033219. The next prime is 31311323033311. The reversal of 31311323033221 is 12233032311313.

It is a happy number.

It is not a de Polignac number, because 31311323033221 - 2¹ = 31311323033219 is a prime.

It is a super-3 number, since 3×31311323033221³ (a number of 41 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 31311323033221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31311323033521) 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 127 ways as a sum of consecutive naturals, for example, 3714709635 + ... + 3714718063.

It is an arithmetic number, because the mean of its divisors is an integer number (329506444800).

Almost surely, 2^{31311323033221} is an apocalyptic number.

31311323033221 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

31311323033221 is a deficient number, since it is larger than the sum of its proper divisors (10865501901179).

31311323033221 is a wasteful number, since it uses less digits than its factorization.

31311323033221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9131.

The product of its (nonzero) digits is 5832, while the sum is 28.

Adding to 31311323033221 its reverse (12233032311313), we get a palindrome (43544355344534).

The spelling of 31311323033221 in words is "thirty-one trillion, three hundred eleven billion, three hundred twenty-three million, thirty-three thousand, two hundred twenty-one".