31413204402120 has 192 divisors, whose sum is σ = 107581926816000. Its totient is φ = 7927423340544.

The previous prime is 31413204402077. The next prime is 31413204402121. The reversal of 31413204402120 is 2120440231413.

31413204402120 is a `hidden beast` number, since 3 + 1 + 4 + 1 + 3 + 2 + 0 + 440 + 212 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (31413204402121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3882577 + ... + 8826143.

It is an arithmetic number, because the mean of its divisors is an integer number (560322535500).

Almost surely, 2^{31413204402120} is an apocalyptic number.

31413204402120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31413204402120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53790963408000).

31413204402120 is an abundant number, since it is smaller than the sum of its proper divisors (76168722413880).

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

31413204402120 is a wasteful number, since it uses less digits than its factorization.

31413204402120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4944532 (or 4944525 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 31413204402120 its reverse (2120440231413), we get a palindrome (33533644633533).

The spelling of 31413204402120 in words is "thirty-one trillion, four hundred thirteen billion, two hundred four million, four hundred two thousand, one hundred twenty".