31030080307200 has 3240 divisors, whose sum is σ = 137028530854908. Its totient is φ = 6876309749760.

The previous prime is 31030080307199. The next prime is 31030080307201. The reversal of 31030080307200 is 270308003013.

31030080307200 is a `hidden beast` number, since 31 + 0 + 300 + 8 + 0 + 307 + 20 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (31030080307199) and next prime (31030080307201).

It can be written as a sum of positive squares in 6 ways, for example, as 9775177334784 + 21254902972416 = 3126528^2 + 4610304^2 .

It is a tau number, because it is divible by the number of its divisors (3240).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31030080307201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 1349133926389 + ... + 1349133926411.

Almost surely, 2^{31030080307200} is an apocalyptic number.

31030080307200 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 31030080307200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68514265427454).

31030080307200 is an abundant number, since it is smaller than the sum of its proper divisors (105998450547708).

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

31030080307200 is an equidigital number, since it uses as much as digits as its factorization.

31030080307200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The spelling of 31030080307200 in words is "thirty-one trillion, thirty billion, eighty million, three hundred seven thousand, two hundred".