31121321131032 has 256 divisors, whose sum is σ = 91222601379840. Its totient is φ = 8757918720000.

The previous prime is 31121321131031. The next prime is 31121321131037. The reversal of 31121321131032 is 23013112312113.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 31121321130993 and 31121321131011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31121321131031) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19707948 + ... + 21228420.

It is an arithmetic number, because the mean of its divisors is an integer number (356338286640).

Almost surely, 2^{31121321131032} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31121321131032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45611300689920).

31121321131032 is an abundant number, since it is smaller than the sum of its proper divisors (60101280248808).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

31121321131032 is a wasteful number, since it uses less digits than its factorization.

31121321131032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1520626 (or 1520622 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

Adding to 31121321131032 its reverse (23013112312113), we get a palindrome (54134433443145).

The spelling of 31121321131032 in words is "thirty-one trillion, one hundred twenty-one billion, three hundred twenty-one million, one hundred thirty-one thousand, thirty-two".