31413332021124 has 192 divisors, whose sum is σ = 80061375744000. Its totient is φ = 9562187980800.

The previous prime is 31413332021119. The next prime is 31413332021231. The reversal of 31413332021124 is 42112023331413.

It is a junction number, because it is equal to n+sod(n) for n = 31413332021091 and 31413332021100.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 103164652 + ... + 103468700.

It is an arithmetic number, because the mean of its divisors is an integer number (416986332000).

Almost surely, 2^{31413332021124} 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 31413332021124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40030687872000).

31413332021124 is an abundant number, since it is smaller than the sum of its proper divisors (48648043722876).

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

31413332021124 is a wasteful number, since it uses less digits than its factorization.

31413332021124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304334 (or 304332 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

Adding to 31413332021124 its reverse (42112023331413), we get a palindrome (73525355352537).

The spelling of 31413332021124 in words is "thirty-one trillion, four hundred thirteen billion, three hundred thirty-two million, twenty-one thousand, one hundred twenty-four".