31303189412820 has 768 divisors, whose sum is σ = 113446390579200. Its totient is φ = 7101549987840.

The previous prime is 31303189412779. The next prime is 31303189412867. The reversal of 31303189412820 is 2821498130313.

It is a happy number.

31303189412820 is a `hidden beast` number, since 3 + 1 + 30 + 3 + 189 + 412 + 8 + 20 = 666.

It is a super-3 number, since 3×31303189412820³ (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 2355210375 + ... + 2355223665.

It is an arithmetic number, because the mean of its divisors is an integer number (147716654400).

Almost surely, 2^{31303189412820} is an apocalyptic number.

31303189412820 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 31303189412820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56723195289600).

31303189412820 is an abundant number, since it is smaller than the sum of its proper divisors (82143201166380).

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

31303189412820 is a wasteful number, since it uses less digits than its factorization.

31303189412820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13877 (or 13869 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 31303189412820 in words is "thirty-one trillion, three hundred three billion, one hundred eighty-nine million, four hundred twelve thousand, eight hundred twenty".