31200013020 has 192 divisors, whose sum is σ = 97889057280. Its totient is φ = 7360896000.

The previous prime is 31200013001. The next prime is 31200013027. The reversal of 31200013020 is 2031000213.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 31200012987 and 31200013005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31200013027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3928974 + ... + 3936906.

It is an arithmetic number, because the mean of its divisors is an integer number (509838840).

Almost surely, 2^31200013020 is an apocalyptic number.

31200013020 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 31200013020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48944528640).

31200013020 is an abundant number, since it is smaller than the sum of its proper divisors (66689044260).

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

31200013020 is a wasteful number, since it uses less digits than its factorization.

31200013020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8116 (or 8114 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 31200013020 its reverse (2031000213), we get a palindrome (33231013233).

The spelling of 31200013020 in words is "thirty-one billion, two hundred million, thirteen thousand, twenty".