31201302223104 has 216 divisors, whose sum is σ = 94383243726912. Its totient is φ = 9095115386880.

The previous prime is 31201302223079. The next prime is 31201302223127. The reversal of 31201302223104 is 40132220310213.

31201302223104 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×31201302223104² (a number of 28 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 724212 + ... + 7932659.

Almost surely, 2^{31201302223104} 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 31201302223104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47191621863456).

31201302223104 is an abundant number, since it is smaller than the sum of its proper divisors (63181941503808).

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

31201302223104 is a wasteful number, since it uses less digits than its factorization.

31201302223104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8656941 (or 8656908 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 31201302223104 its reverse (40132220310213), we get a palindrome (71333522533317).

The spelling of 31201302223104 in words is "thirty-one trillion, two hundred one billion, three hundred two million, two hundred twenty-three thousand, one hundred four".